💥UPSC 2026, 2027, 2028 UAP Mentorship (March Batch) + Access XFactor Notes & Microthemes PDF

Type: Prelims Only

  • Cyber Security – CERTs, Policy, etc

    National Cyber Coordination Centre (NCSC)

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: National Cyber Coordination Centre, CERT-IN

    Mains level: Cyber security challenges for India

    There are cybersecurity organisations in the country but no central body responsible for safety in the online space said the National Cyber Security Coordinator (NCSC).

    National Cyber Coordination Centre

    Headed by National Cyber Security Coordinator:  Lt. Gen. Rajesh Pant (Retd.)

    Objective: To help the country deal with malicious cyber-activities by acting as an Internet traffic monitoring entity that can fend off domestic or international attacks

    • The National Cyber Coordination Centre (NCCC) is an operational cybersecurity and e-surveillance agency in India.
    • It is jurisdictionally under the Ministry of Home Affairs.
    • It coordinates with multiple security and surveillance agencies as well as with CERT-In of the Ministry of Electronics and Information Technology.
    • Components of the NCCC include a cybercrime prevention strategy, cybercrime investigation training and review of outdated laws.

    Functions

    • It will be India’s first layer for cyber threat monitoring and all communication with government and private service providers would be through this body only.
    • The NCCC will be in virtual contact with the control room of all ISPs to scan traffic within the country, flowing at the point of entry and exit, including the international gateway.

    Cyber-security bottlenecks in India

    • India has no dedicated Cyber-security regulation and is also not well prepared to deal with cyberwarfare.
    • India has formulated the National Cyber Security Policy 2013 which is not yet implemented.
    • NCCC has been classified to be a project of the Indian government without a legal framework, which may be counterproductive as it may violate civil liberties and human rights.
    • Some have expressed concern that the NCCC could encroach on Indian citizens’ privacy and civil liberties, given the lack of explicit privacy laws in the country.

    Back2Basics: Indian Computer Emergency Response Team (CERT-IN)

    • CERT-IN is an office within the Ministry of Electronics and Information Technology.
    • It is the nodal agency to deal with cyber security threats like hacking and phishing. It strengthens the security-related defence of the Indian Internet domain.
    • It was formed in 2004 by the Government of India under the Information Technology Act, 2000 Section (70B) under the Ministry of Communications and Information Technology.

     

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  • Interstate River Water Dispute

    Mullaperiyar Dam Issue

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Mullaperiyar Dam

    Mains level: Interstate water disputes

    The Supreme Court has directed the Supervisory Committee to take an immediate and firm decision on the maximum water level that can be maintained at Mullaperiyar dam amidst torrential rains in Kerala.

    What is the news?

    • A report by United Nations has stated that the Mullaperiyar dam, situated in a seismically active area, faces the risk of failure.
    • Earlier this year, the Supreme Court warned the TN Chief Secretary against the failure to give information on the rule curve for dam which decides the discharge of excess water.

    Mullaperiyar Dam

    • It is a masonry gravity dam on the Periyar River in Kerala.
    • It is located on the Cardamom Hills of the Western Ghats in Thekkady, Idukki District.
    • It was constructed between 1887 and 1895 by John Pennycuick and also reached in an agreement to divert water eastwards to the Madras Presidency area.
    • It has a height of 53.6 m (176 ft) from the foundation, and a length of 365.7 m (1,200 ft).

    Operational issue

    • The dam is located in Kerala but is operated and maintained by Tamil Nadu.
    • The catchment area of the Mullaperiyar Dam itself lies entirely in Kerala and thus not an inter-State river.
    • In November 2014, the water level hit 142 feet for first time in 35 years.
    • The reservoir again hit the maximum limit of 142 feet in August 2018, following incessant rains in the state of Kerala.
    • Indeed, the tendency to store water to almost the full level of reservoirs is becoming a norm among water managers across States.

    The dispute: Control and safety of the dam

    • Supreme court judgment came in February 2006, has allowed Tamil Nadu to raise the level of the dam to 152 ft (46 m) after strengthening it.
    • Responding to it, the Mullaperiyar dam was declared an ‘endangered’ scheduled dam by the Kerala Government under the disputed Kerala Irrigation and Water Conservation (Amendment) Act, 2006.
    • For Tamil Nadu, the Mullaperiyar dam and the diverted Periyar waters act as a lifeline for Theni, Madurai, Sivaganga, Dindigul and Ramnad districts.
    • Tamil Nadu has insisted on exercising the unfettered colonial rights to control the dam and its waters, based on the 1886 lease agreement.

    Rule of Curve issue

    • A rule curve or rule level specifies the storage or empty space to be maintained in a reservoir during different times of the year.
    • It decides the fluctuating storage levels in a reservoir.
    • The gate opening schedule of a dam is based on the rule curve. It is part of the “core safety” mechanism in a dam.
    • The TN government often blames Kerala for delaying the finalization of the rule curve.

     

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  • International Space Agencies – Missions and Discoveries

    What is White Dwarf?

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: White dwarf

    Mains level: Not Much

    Using the Hubble Space telescope and Transiting Exoplanet Survey Satellite (TESS), astronomers have identified several white dwarfs over the years.

    Where is this white dwarf?

    • A white dwarf is what stars like the Sun become after they have exhausted their nuclear fuel.
    • Near the end of its nuclear burning stage, this type of star expels most of its outer material, creating a planetary nebula.
    • Only the hot core of the star remains. This core becomes a very hot white dwarf, with a temperature exceeding 100,000 Kelvin.
    • Unless it is accreting matter from a nearby star, the white dwarf cools down over the next billion years or so.

    Limits for white dwarf

    • White Dwarf is half the size of our Sun and has a surface gravity 100,000 times that of Earth.
    • There is a limit on the amount of mass a white dwarf can have.
    • Subrahmanyan Chandrasekhar discovered this limit to be 4 times the mass of the Sun. This is appropriately known as the “Chandrasekhar Limit.”

    Observing white dwarf

    • Many nearby, young white dwarfs have been detected as sources of soft, or lower-energy, X-rays.
    • Recently, soft X-ray and extreme ultraviolet observations have become a powerful tool in the study the composition and structure of the thin atmosphere of these stars.

    What is TESS?

    • The researchers observed this phenomenon using Transiting Exoplanet Survey Satellite (TESS).
    • TESS is a space telescope in NASA’s Explorer program, designed to search for extrasolar planets using the transit method.
    • The primary mission objective for TESS is to survey the brightest stars near the Earth for transiting exoplanets over a two-year period.
    • The TESS project will use an array of wide-field cameras to perform an all-sky survey. It will scan nearby stars for exoplanets.

    How does white dwarf ‘switch on and off’?

    • In these types of systems, the donor star orbit around the white dwarf keeps feeding the accretion disk.
    • As the accretion disk material slowly sinks closer towards the white dwarf it generally becomes brighter.
    • It is known that in some systems the donor stars stop feeding the disk.

     

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  • Capital Markets: Challenges and Developments

    [pib] GoI Floating Rate Bonds

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Floating Rate Bonds

    Mains level: Not Much

    The Government of India has announced the Sale (Re-issue) of Floating Rate Bonds, 2028’.

    What are Bonds?

    • Bonds are investment securities where an investor lends money to a company or a government for a set period of time, in exchange for regular interest payments.
    • Generally, bonds come with a fixed coupon or interest rate. For example, you can buy a bond of Rs 10,000 with a coupon rate of 5%.
    • Once the bond reaches maturity, the bond issuer returns the investor’s money.
    • Fixed income is a term often used to describe bonds, since your investment earns fixed payments over the life of the bond.

    Why are bonds launched?

    • Companies sell bonds to finance ongoing operations, new projects or acquisitions.
    • Governments sell bonds for funding purposes, and also to supplement revenue from taxes.

    What are Floating Rate Bonds?

    • A floating rate bond is a debt instrument that does not have a fixed coupon rate, but its interest rate fluctuates based on the benchmark the bond is drawn.
    • Benchmarks are market instruments that influence the overall economy.
    • For example, repo rate or reverse repo rate can be set as benchmarks for a floating rate bond.

    How do floating rate bonds work?

    • Floating rate bonds make up a significant part of the Indian bond market and are majorly issued by the government.
    • For example, the RBI issued a floating rate bond in 2020 with interest payable every six months. After six months, the interest rate is re-fixed by the RBI.

     

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  • Zoonotic Diseases: Medical Sciences Involved & Preventive Measures

    What is Hybrid Immunity?

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Hybrid immunity

    Mains level: Not Much

    A study has shown that a combination of natural infection with a single dose of vaccine provides greater immunity than either natural infection without vaccination or full vaccination in individuals.

    What is the new study?

    • People without prior infection but fully vaccinated with the Pfizer or AstraZeneca vaccine showed a decline in neutralising antibodies over a period of three to seven months.
    • But the decline was much less in vaccinated people with prior infection.
    • People with hybrid immunity had a higher and more durable neutralising antibody response.
    • The hybrid immunity offers stronger protection than just infection or full vaccination alone.

    What is Hybrid Immunity?

    • It is natural immunity from an infection combined with the immunity provided by the vaccine.
    • The immunological advantage from hybrid immunity arises mostly from memory B cells.

    What are memory B cells?

    • In immunology, a memory B cell (MBC) is a type of B lymphocyte that forms part of the adaptive immune system.
    • B lymphocytes are the cells of the immune system that make antibodies to invade pathogens like viruses.
    • They form memory cells that remember the same pathogen for faster antibody production in future infections.

    How do they assist hybrid immunity?

    • While the bulk of antibodies after infection or vaccination decline after a short while, the memory B cells get triggered on subsequent infection or vaccination.
    • The memory B cells triggered by infection and those triggered by vaccination have different responses to viruses.
    • Infection and vaccination expose the spike protein to the immune system in vastly different ways.
    • After full vaccination, antibodies produced by natural infection continued to grow in potency and their breadth against variants for a year after infection.
    • Unlike after vaccination, the memory B cells formed after natural infection are more likely to make antibodies that block immune-evading variants.

     

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  • Animal Husbandry, Dairy & Fisheries Sector – Pashudhan Sanjivani, E- Pashudhan Haat, etc

    [pib] India’s First Banni Buffalo IVF Calf Born

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Banni Buffalo, IVF

    Mains level: Not Much

    With the birth of first IVF calf of a Buffalo breed namely Banni in the country, India’s Ovum Pick-Up (OPU) – IVF work has reached to next level.

    Banni Buffalo

    • Banni buffaloes are also known as “Kutchi” or “Kundi”.
    • The breeding tract includes the Banni area of Kutchchh district of Gujarat.
    • The breed is maintained mostly by Maldharis under locally adapted typical extensive production system in its breeding tract.

    What makes them unique?

    • Banni buffaloes are trained to graze on Banni grassland during night and brought to the villages in the morning for milking.
    • This traditional system of buffalo rearing has been adapted to avoid the heat stress and high temperature of the day.
    • It has unique qualities of adaptation such as the ability to survive water scarcity conditions, to cover long distances during periods of drought and disease resistance.

    Indigenous buffalo breeds in India

    S. No. Breed Breeding state
    1 Banni Gujarat
    2 Bargur Tamil Nadu
    3 Bhadawari Uttar Pradesh and Madhya Pradesh
    4 Chhattisgarhi Chhattisgarh
    5 Chilika Odisha
    6 Gojri Himachal Pradesh and Punjab
    7 Jaffarabadi Gujarat
    8 Kalahandi Odisha
    9 Luit (Swamp) Assam
    10 Marathwadi Maharashtra
    11 Mehsana Gujarat
    12 Murrah Haryana and Delhi
    13 Nagpuri Maharashtra
    14 Nili Ravi Punjab
    15 Pandharpuri Maharashtra
    16 Surti Gujarat
    17 Toda Tamil Nadu

     

     

     

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    Back2Basics: In-vitro fertilization (IVF)

    • IVF is a type of assisted reproductive technology used for infertility treatment and gestational surrogacy.
    • A fertilised egg may be implanted into a surrogate’s uterus, and the resulting child is genetically unrelated to the surrogate.
    • Some countries have banned or otherwise regulate the availability of IVF treatment, giving rise to fertility tourism.
    • Restrictions on the availability of IVF include costs and age, in order for a woman to carry a healthy pregnancy to term.
    • IVF is generally not used until less invasive or expensive options have failed or been determined unlikely to work.

    IVF process

    • IVF is a process of fertilization where an egg is combined with sperm outside the body, in vitro (“in glass”).
    • The process involves monitoring and stimulating a female ovulatory process, removing an ovum or ova (egg or eggs) from the female ovaries and letting sperm fertilise them in a liquid in a laboratory.
    • After the fertilised egg (zygote) undergoes embryo culture for 2–6 days, it is implanted in the same or another female uterus, with the intention of establishing a successful pregnancy.

     

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  • Modern Indian History-Events and Personalities

    [pib] Ramappa – Kakatiya Rudreshwara Temple

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Ramappa Temple, UNESCO Heritage sites

    Mains level: Ancient temple architecture

    The Union Minister for Culture, Tourism has unveiled the UNESCO World Heritage Listing plaque at Ramappa – Kakatiya Rudreshwara Temple in Palampet.

    Rudreswara Temple

    • The Rudreswara temple was constructed in 1213 AD during the reign of the Kakatiya Empire by Recharla Rudra, a general of Kakatiya king Ganapati Deva.
    • It is also known as the Ramappa temple, after the sculptor who executed the work in the temple for 40 years.
    • The main temple is flanked by the collapsed structures of the Kateshwarayya and Kameshwarayya temples in Palampet, about 220 km from Hyderabad.
    • An inscription dates the temple to 1135 Samvat-Saka on the eighth day of Magha (January 12, 1214).
    • It is India’s 39th UNESCO World Heritage Site. (Total 40 in number after Dholavira).

    Its architecture

    • The temple complexes of Kakatiyas have a distinct style, technology, and decoration exhibiting the influence of the Kakatiyan sculptor.
    • The temple stands on a 6 feet high star-shaped platform with walls, pillars, and ceilings adorned with intricate carvings that attest to the unique skill of the Kakatiyan sculptors.
    • The foundation is built with the “sandbox technique”, the flooring is granite, and the pillars are basalt.
    • The lower part of the temple is red sandstone while the white gopuram is built with light bricks that reportedly float on water.
    • European merchants and travelers were mesmerized by the beauty of the temple and one such traveler had remarked that the temple was the “brightest star in the galaxy of medieval temples of the Deccan”.

    Surviving through ages

    • According to the temple priest, some of the iconography on the temple was damaged during the invasion of Malik Kafur in 1310.
    • Treasure hunters vandalized the rest.
    • But the biggest test for the temple was an earthquake in the 17th century (one of the biggest was that of 7.7-8.2-magnitude on June 16, 1819).

    Answer this PYQ in the comment box:

    Q.Which one of the following was a very important seaport in the Kakatiya kingdom? (CSP 2017)

    (a) Kakinada

    (b) Motupalli

    (c) Machilipatnam (Masulipatnam)

    (d) Nelluru

     

    Post your answers here.

    Back2Basics: UNESCO World Heritage Sites

    • A World Heritage Site is a landmark or area, selected by the UN Educational, Scientific and Cultural Organization (UNESCO) for having cultural, historical, scientific, or other forms of significance, which is legally protected by international treaties.
    • The sites are judged to be important for the collective and preservative interests of humanity.
    • To be selected, a WHS must be an already-classified landmark, unique in some respect as a geographically and historically identifiable place having special cultural or physical significance (such as an ancient ruin or historical structure, building, city, complex, desert, forest, island, lake, monument, mountain, or wilderness area).
    • It may signify a remarkable accomplishment of humanity, and serve as evidence of our intellectual history on the planet.
    • The sites are intended for practical conservation for posterity, which otherwise would be subject to risk from human or animal trespassing, unmonitored/uncontrolled/unrestricted access, or threat from local administrative negligence.
    • The list is maintained by the international World Heritage Program administered by the UNESCO World Heritage Committee, composed of 21 “states parties” that are elected by their General Assembly.

    UNESCO World Heritage Committee

    • The World Heritage Committee selects the sites to be listed as UNESCO World Heritage Sites, including the World Heritage List and the List of World Heritage in Danger.
    • It monitors the state of conservation of the World Heritage properties, defines the use of the World Heritage Fund, and allocates financial assistance upon requests from States Parties.
    • It is composed of 21 states parties that are elected by the General Assembly of States Parties for a four-year term.
    • India is NOT a member of this Committee.

     

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  • Genetically Modified (GM) crops – cotton, mustards, etc.

    What are Non-Transgenic Gene Editing techniques?

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Non-Transgenic Gene Editing

    Mains level: Hazards of using GMO crops

    The Centre is yet to decide on a research proposal from scientists which would allow plants to be genetically modified without the need for conventional transgenic technology.

    What is Genome Editing?

    • Genome editing (also called gene editing) is a group of technologies that give scientists the ability to change an organism’s DNA.
    • These technologies allow genetic material to be added, removed, or altered at particular locations in the genome.
    • Several approaches to genome editing have been developed.

    Techs for Genome Editing

    The core technologies now most commonly used to facilitate genome editing are

    1. Clustered regularly interspaced short palindromic repeats (CRISPR)- associated protein 9 (Cas9)
    2. Transcription activator-like effector nucleases (TALENs)
    3. Zinc-finger nucleases (ZFNs)
    4. Homing endonucleases or meganucleases

    Newer technologies

    • The Institute has now moved to newer technologies such as Site-Directed Nuclease (SDN) 1 and 2.
    • They aim to bring precision and efficiency into the breeding process using gene-editing tools such as CRISPR, whose developers won the Nobel Prize for Chemistry in 2020.

    About CRISPR

    • CRISPR-Cas9 was adapted from a naturally occurring genome editing system in bacteria.
    • The bacteria capture snippets of DNA from invading viruses and use them to create DNA segments known as CRISPR arrays.
    • The CRISPR arrays allow the bacteria to “remember” the viruses (or closely related ones).
    • If the viruses attack again, the bacteria produce RNA segments from the CRISPR arrays to target the viruses’ DNA.
    • The bacteria then use Cas9 or a similar enzyme to cut the virus DNA apart, which disables the virus.
    • This method is faster, cheaper, more accurate, and more efficient than other existing genome editing methods.

    What is Non-Transgenic Gene Editing?

    • Unlike the older GM technology which involves the introduction of foreign DNA, the new proposal involves the use of gene editing tools to directly tweak the plant’s own genes instead.
    • It does not involve inserting any foreign DNA.

    Use in India

    • Scientists at the Indian Agricultural Research Institute (IARI) are in the process of developing resilient and high-yield rice varieties using such gene editing techniques.
    • However, this proposal has been pending with the Genetic Engineering Appraisal Committee (GEAC) for almost two years.

    Why need such technique?

    • Similar to natural mutation: But in this case, this protein is right there in the plant, and is being changed a little bit, just as nature does through mutation.
    • Faster and cheaper: It is much faster and far more precise than natural mutation or conventional breeding methods which involve trial and error and multiple breeding cycles.
    • Safe for consumption: When a protein comes from an outside organism, then you need to test for safety.
    • Pathbreaking: It is potentially a new Green Revolution.

    No approval issues

    • The SDN 1 and SDN 2 categories of genome-edited plants do not contain any foreign DNA when they are taken to the open field trials.
    • The US, Canada, Australia and Japan are among the countries which have already approved the SDN 1 and 2 technologies as not akin to GM.
    • So, such varieties of rice can be exported without any problem.
    • The European Food Safety Authority has also submitted its opinion that these technologies do not need the same level of safety assessment as conventional GM.

     

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  • Innovations in Biotechnology and Medical Sciences

    Punjab farmers create Bio-Enzymes from Kinnow

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Bio-Enzymes

    Mains level: Not Much

    Some farmers in Punjab, especially in the Kinnow belt, have started making Bio-Enzymes (BEs) from this waste fruit — peel and ‘D’ grade, very small kinnows.

    What is a Kinnow?

    • The ‘Kinnow’ is a high yield citrus fruit cultivated extensively in the wider Punjab region of India and Pakistan.
    • It is a year-long duration crop and the main harvesting period is from November-end to March.
    • It looks similar to orange but is smaller in size.

    Agricultural significance of Kinnows

    • Fallen fruit is a major challenge for kinnow farmers in the state as one needs to dig up small pits to bury them, otherwise the fallen fruit rot and invite a fly attack on the healthy fruit still on the plants.
    • But now, some farmers are using this waste kinnow to improve the pH level and soil fertility of their land by making BEs from this waste fruit.

    What are Bio-Enzymes?

    • Chemically, the Bio Enzymes are a mixture of complex organic substances such as proteins, salts and other materials that are by-products of the bacteria/yeast.
    • They produced through fermentation of organic waste including various fruits, vegetable peels and flowers, by mixing in sugar, jaggery/molasses and water.
    • BE’s also have a lot of usage in our daily lives. They can be used as natural cleansers.

    Benefits offered by BEs

    • BEs have a lot of good microbes and one of the major methods which helps overall improvement of our ecology.
    • It helps in mitigating the imbalance occurred due to overuse of chemicals, in our soil, air and water.
    • In a state like Punjab where water table is depleting fast and water contamination is also major issue, BEs can bring the soil back to life.
    • It helps in better water recharging and also stops the contamination of water by improving the health of soil.

     

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  • International Space Agencies – Missions and Discoveries

    What is the Lucy Mission?

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Lagrange Points, Lucy Mission

    Mains level: Not Much

    The NASA has launched Lucy, the spacecraft on a 12-year cruise to look back into the origins of the solar system through Trojans.

    Lucy Mission

    • Lucy will fly by eight Jupiter asteroids—seven Trojans and one main-belt asteroid — over the next 12 years.
    • It is NASA’s first single spacecraft mission in history to explore so many different asteroids.
    • Lucy will run on solar power out to 850 million kilometers away from the Sun.
    • This makes it the farthest-flung solar powered spacecraft ever, according to NASA.

    What is Jupiter Trojan Asteroids?

    • Simply known as Trojans, they are a large group of asteroids that share Jupiter’s orbit around the Sun.
    • Thousands of such asteroids exist in a gravitationally stable space.
    • The swarms lead and follow the planet Jupiter along its orbit around the Sun.

    What exactly are Trojans?

    • Lucy’s Trojan destinations are trapped near Jupiter’s Lagrange (L) points, which are gravitationally stable locations — it is where the gravity from the Sun and from Jupiter cancel each other out.
    • This means their orbits are stable and the Trojans are trapped in the space between.
    • This also means that asteroids are as far away from Jupiter as they are from the Sun.
    • Jupiter’s leading and trailing Lagrangian points (L4 and L5) have been stable over the age of the solar system.
    • This means that their orbits have accumulated many, many asteroids.
    • It makes sense to call a Trojan a co-orbital object, which moves around one of the two stable Lagrangian points.

    When and how were they discovered?

    • It took many a scientist to understand Trojans, and subsequently, name them so.
    • A German astro-photographer in 1906 made an important discovery: An asteroid with a particularly unusual orbit. As Jupiter moved, this asteroid remained ahead of Jupiter.
    • It was observed that the asteroid was nearly 60 degrees in front of Jupiter.

    Students with engineering background would better understand who Lagrange was. Rest need not care.

    Lagrange’s propositions

    • This specific position of a peculiar behaviour was predicted by the Italian-French mathematician Joseph-Louis Lagrange over 100 years earlier.
    • Lagrange had argued that if a small celestial body is placed at one of two stable points in a planet’s orbit around the Sun (the L4 and L5), the asteroid would remain stationary from the planet’s perspective.
    • This is due to the combined gravitational forces of the planet and the Sun.
    • Thus, Lagrange’s prediction acquired credibility. More such asteroids were discovered over subsequent months in Jupiter’s Lagrange point L5.

    Behind the name: Lucy

    • It is the fossil of a hominin that lived 3.2 million years ago.
    • She is known to be one of the most famous pre-human fossil in history.
    • Nearly 40 per cent of the fossilised skeleton of this hominin was discovered in 1974 by a team of paleoanthropologists led by Donald Johanson.
    • The name was inspired from the famous Beatles song “Lucy in the Sky With Diamonds,” which Johanson’s team listened to at camp the night of their discovery.

     

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    Back2Basics: Lagrange Points

    • Lagrange points are positions in space where objects sent there tend to stay put.
    • They are named after Italian-French mathematician Josephy-Louis Lagrange.
    • At Lagrange points, the gravitational pull of two large masses precisely equals the centripetal force required for a small object to move with them.
    • These points in space can be used by spacecraft to reduce the fuel consumption needed to remain in position.
    • There are five special points where a small mass can orbit in a constant pattern with two larger masses.