Lagrangian mechanics
Formulation of classical mechanics
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We include updates on James Webb Space Telescope, Lagrange point, Joseph-Louis Lagrange, Hamilton's principle, Total derivative, Lyapunov stability, Classical field theory, D'Alembert's principle, Large Ultraviolet Optical Infrared Surveyor, Halo orbit, Canonical coordinates, Solar and Heliospheric Observatory, Tautological one-form, List of objects at Lagrange points, Generalized coordinates, Deep Space Climate Observatory ... and more.
| October 23 2025 |
Deep Space Climate Observatory
AMSAT-DL successfully downloaded EPIC images from DSCOVR.
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| October 14 2025 | Reported groundbreaking findings suggesting the earliest stars may have been 'dark stars' — massive spheres of hydrogen and helium powered by dark matter particle annihilation, potentially explaining the brightness of early galaxies and the formation of early supermassive black holes. |
| October 12 2025 |
Deep Space Climate Observatory
The amateur-operated Dwingeloo Radio Observatory received signals from DSCOVR, though no new EPIC images have been published.
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| September 2025 |
Objects at Lagrange points
SWFO-L1 satellite launched and in transit to L1 Lagrange point.
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| September 2025 |
Objects at Lagrange points
IMAP satellite launched and in transit to L1 Lagrange point.
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| September 2025 | A nearly naked supermassive black hole, designated QS01, was discovered by the James Webb Space Telescope. |
| July 16 2025 |
Deep Space Climate Observatory
DSCOVR suffered a software bus anomaly, putting the spacecraft offline without an estimated recovery date.
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| 2025 |
Objects at Lagrange points
Interstellar Mapping and Acceleration Probe (IMAP) planned for launch at the end of the year to the Sun-Earth L1 Lagrange point.
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| March 27 2025 | Gaia was decommissioned and passivated after leaving its orbit near L2 and being put into a heliocentric orbit away from Earth's sphere of influence. |
| March 27 2025 | ESA scientists switch off Gaia after more than a decade of service, sending the spacecraft into orbit around the sun and overwriting some of its onboard data. |
| 2025 | Mission extended until the end of the year, subject to review and confirmation by ESA's Science Programme Committee. |
| January 15 2025 | Official end of science observations for the Gaia spacecraft. |
| January 10 2025 | Gaia performed its last targeted observation. |
| December 31 2024 |
Wind
By the end of the year, Wind had contributed data to over 7,850 scientific publications, demonstrating its long-term scientific value.
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| November 1 2024 |
Wind
Wind spacecraft celebrated its 30th anniversary of launch, highlighted in a NASA story about its continued scientific contributions.
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| May 2024 | JWST detected the farthest known black hole merger within the galaxy system ZS7, occurring 740 million years after the Big Bang, suggesting a fast growth rate for black holes through mergers in the young Universe. |
| May 2024 | JWST identified JADES-GS-z14-0, the most distant known galaxy, seen 290 million years after the Big Bang with a redshift of 14.32. This discovery was part of the JWST Advanced Deep Extragalactic Survey (JADES) and revealed a galaxy more luminous and massive than expected for its early cosmic period. |
| May 3 2024 |
Objects at Lagrange points
Chang'e 6 Service Module launched, arriving at L2 halo orbit on 9 September 2024.
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| April 2024 | A micrometeoroid hit and damaged Gaia's protective cover, creating a gap that allowed stray sunlight to occasionally disrupt its sensitive sensors. |
| March 25 2024 | SOHO-5000 comet discovered by Hanjie Tan, underscoring the satellite's significant role in astronomical discoveries. |
| January 6 2024 |
Objects at Lagrange points
Aditya-L1 entered a halo orbit around the L1 Lagrange point to study solar atmosphere and magnetic storms.
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| January 6 2024 |
Objects at Lagrange points
Aditya-L1 enters halo orbit around Lagrange point L1 to study solar atmosphere and solar magnetic storms.
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| January 6 2024 |
Objects at Lagrange points
Aditya-L1 successfully inserted into orbit around Sun-Earth L1 point.
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| December 2023 | NASA released Christmas holiday-related images from JWST, including the Christmas Tree Galaxy Cluster and other astronomical scenes. |
| September 2023 | Two astrophysicists questioned the accepted Standard Model of Cosmology based on the latest JWST studies. |
| September 2 2023 |
Objects at Lagrange points
Aditya-L1 launched by ISRO, successfully inserted into an orbit about Sun-Earth L1 point on 6 January 2024.
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| September 2 2023 |
Objects at Lagrange points
Aditya-L1, an ISRO solar observation mission, successfully launched.
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| July 12 2023 | NASA celebrated the first year of Webb telescope operations by releasing an image of a small star-forming region in the Rho Ophiuchi cloud complex, located 390 light years away. |
| July 1 2023 |
Objects at Lagrange points
Euclid space telescope launched by ESA and NASA.
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| June 2023 | Detection of organic molecules 12 billion light-years away in the galaxy SPT0418-47 using the Webb telescope was announced. |
| May 10 2023 | Cycle 2 General Observer (GO) program was announced by the Space Telescope Science Institute. |
| March 2023 | The Gaia mission was extended through the second quarter of 2025. |
| February 21 2023 |
Wind
Wind review paper published in Reviews of Geophysics was awarded as a Top Cited Article 2021-2022 by the journal.
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| 2022 | NASA releases an investigation report finding no direct evidence linking James Webb to discriminatory actions during the Lavender Scare. |
| November 1 2022 |
Wind
Wind spacecraft celebrated its 28th anniversary of launch.
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| October 13 2022 |
Wind
Wind/KONUS data helped detect one of the strongest/brightest gamma-ray burst events on record.
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| September 2022 | Scientists proposed primordial black holes as an explanation for unexpectedly large and early galaxies observed by Webb. |
| August 24 2022 | A mechanism supporting medium-resolution spectroscopy (MRS) exhibited increased friction during setup for a science observation, specifically involving the grating wheel used to select wavelengths. |
| August 17 2022 | NASA released a large mosaic image of 690 individual frames captured by Webb's NIRCam, showcasing numerous very early galaxies. |
| July 2022 | Gregory L. Robinson retires after completing the telescope's commissioning process and after 33 years at NASA. |
| July 14 2022 | NASA presented infrared images of Jupiter and related areas captured by the James Webb Space Telescope. |
| July 12 2022 | First full-color images and spectroscopic data were officially released, marking the beginning of Webb's general science operations. Images included the Carina Nebula, WASP-96b, Southern Ring Nebula, Stephan's Quintet, and SMACS J0723.3-7327 galaxy cluster. |
| July 11 2022 | The James Webb Space Telescope (JWST) completed its commissioning and was officially ready to begin full scientific operations, marking a significant milestone in space exploration and astronomical research. |
| July 11 2022 | U.S. President Joe Biden revealed Webb's First Deep Field image, marking a significant public unveiling of the telescope's capabilities. |
| July 11 2022 | The telescope's first image was released to the public. |
| June 8 2022 | NASA reported the micrometeoroid strike, noting that engineers compensated for the impact using a mirror actuator. Despite the strike, NASA confirmed all telescope observing modes remained ready for scientific use. |
| May 23 2022 | The Webb telescope's C3 mirror segment experienced a significant micrometeoroid strike from a large dust mote-sized particle between May 23-25, which was the fifth and largest strike since launch. |
| February 18 2022 | Phase 1 alignment was officially completed, with the telescope's mirror segments beginning to work towards unified operation. |
| February 11 2022 | NASA announced the telescope had nearly completed phase 1 of alignment, with all primary mirror segments having located and imaged the target star HD 84406, and brought into approximate alignment. |
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This contents of the box above is based on material from the Wikipedia articles Deep Space Climate Observatory, James Webb Space Telescope, Solar and Heliospheric Observatory, Gaia (spacecraft), Wind (spacecraft) & List of objects at Lagrange points, which are released under the Creative Commons Attribution-ShareAlike 4.0 International License.