Aditya-L1 is the first Indian space-based observatory that will study the Sun from a halo orbit around the first Sun-Earth Lagrangian point (L1), which is located roughly 1.5 million km from the Earth
#AdityaL1 #ISRO #Mission #StudySun #SuccessfullyUndergoesThirdEarth
https://www.news18.com/india/aditya-l1-mission-sun-isro-spacecraft-successful-third-earth-bound-manoeuvre-8571364.html

Now we see Ocean between us, and Space between worlds.
#Space #ISRO #AdityaL1
https://www.kooapp.com/koo/BN_Adhikari/704eb037-8892-47e2-80c2-37f12745b559

ISRO's Aditya L1 solar mission successfully completes third earth-bound manoeuvre on its journey to the Sun.
#AdityaL1 #India #ISRO
https://www.hindustantimes.com/technology/aditya-l1-indias-first-solar-mission-completes-3rd-earth-bound-manoeuvre-says-isro-101694295068676.html

Stating that Sunday's manoeuvre happened at 2.30am, Isro said: "Ground stations at Mauritius, Bengaluru, SDSC-SHAR (Sriharikota) and Port Blair tracked the satellite during this operation." The spacecraft is now in an orbit of 296km x 71,767km and the next Earth-bound manoeuvre is scheduled for 2am on September 15. Aditya-L1 is a satellite dedicated to the comprehensive study of the Sun.
#AdityaL1 #India
https://timesofindia.indiatimes.com/india/aditya-l1-completes-3rd-earth-bound-manoeuvre/articleshow/103541554.cms

> #India’s Aditya-L1 spacecraft recently took some remarkable pictures of Earth and the #Moon from #space while it was on its way to a special place called Lagrange Point 1. In addition to these pictures, the spacecraft even shared a selfie.

> Right now, it’s making its way to a spot known as the Sun-Earth L1 point. This location in space is quite unique because it’s where the gravitational forces of the Sun and Earth balance out perfectly.
https://www.firstpost.com/tech/news-analysis/watch-aditya-l1-shares-an-epic-selfie-with-the-earth-moon-from-its-journey-to-the-sun-13090232.html #AdityaL1 #isroindia #isro

ISRO continues to make significant strides in its Aditya-L1 solar mission, which aims to study the Sun’s outer atmosphere and space weather.

#ISRO #AdityaL1 #SolarMission #SpaceWeather #OrbitManeuver #SpaceExploration #Sun

https://www.ganganews.com/science/aditya-l1-isro-successfully-performs-second-orbit-maneuver/

Aditya L1 mission latest updates: India's space-based Sun observatory completes second orbital adjustment, preparing for journey to Lagrange 1 Point.
#AdityaL1 #Earth
https://www.hindustantimes.com/india-news/isro-elevates-aditya-l1-to-earth-orbit-40-000-km-away-what-does-it-mean-101693882386269.html

India has launched a spacecraft to study the Sun, becoming the first Asian country to do so. The spacecraft, named Aditya-L1, will orbit around a point between the Earth and the Sun, where the gravitational forces are balanced. The mission aims to understand the Sun’s dynamics, such as its magnetic field, solar flares, and coronal mass ejections, which can affect the Earth’s climate and communication systems. #AdityaL1 #SunMission #IndiaSpace

https://www.pbs.org/newshour/science/after-successful-moon-landing-india-launches-a-spacecraft-to-study-the-sun?utm_source=flipboard&utm_content=HariTulsidas%2Fmagazine%2FArchetypes

Durante su misión a la Luna, la India mandará otra para estudiar el Sol.
Este sábado está previsto el lanzamiento del observatorio solar #AdityaL1 para investigar cuestiones abiertas sobre nuestra estrella, según ha anunciado la Organización de Investigación Espacial de la India (#ISRO).
#AgenciaSINC
#ciencia
#Astronomía
#Astrofísica
https://www.agenciasinc.es/Noticias/Durante-su-mision-a-la-Luna-la-India-mandara-otra-para-estudiar-el-Sol

Más #podcast
https://rodriguezamorin.blogspot.com/p/radios.html?#Ciencia

Indien: Erst der Mond, jetzt die Sonne. Indisches Sonnenobservatorium Aditya-L1 erfolgreich gestartet. #Indien #ISRO #AdityaL1 #Sonnensonde #Raumsonde #Sonnenobservatorium
https://www.scinexx.de/news/kosmos/indien-erst-der-mond-jetzt-die-sonne/

India’s successful launch of its first Solar mission, Aditya-L1, has garnered support from ESA which will play a crucial role in assisting the ISRO.

#ISRO #India #ESA #SolarMission #AdityaL1 #IndiaNews

https://www.ganganews.com/tech/european-space-agency-assist-isro-in-aditya-l1-solar-mission/

The other name we see mentioned often is Aditya-L1 project director Nigar Shaji, who headed the project team at ISRO.

#AdityaL1 #ISRO
4/n

The Lagrange points are named after pioneering mathematician, physicist and astronomer Joseph-Louis Lagrange (Jan 25, 1736 – Apr 10, 1813).

Lagrange made significant contributions to the fields of analysis, number theory, and classical and celestial mechanics.

His study of the 3-body problem and Lagrange points is described in this famous 1772 paper “Essai sur le Problème des Trois Corps.”

https://en.wikipedia.org/wiki/Joseph-Louis_Lagrange
https://cosweb1.fau.edu/~jmirelesjames/StromgrenTranslation.pdf
#AdityaL1#Lagrange
8/n

Objects cannot be placed exactly at L1 as they will drift off after any minor deviations. Hence, they are stationed in orbits around the L1 point, which are more stable, but still require periodic (monthly) small adjustments.

The math to compute the parameters for Halo/Lissajous orbits is much more complex.

#AdityaL1
7/n

Hence, we get
G * Ms * m / (R - r)^2 = G * Me * m / r^2 + m * w^2 * (R - r)

Removing m, we get –
G * Ms / (R - r)^2 = G * Me / r^2 + w^2 * (R - r)

One can solve for r iteratively using a spreadsheet or a simple computer program.

Plugging in –
G = 6.674E-20 km^3 / kg / s^2
Ms = 1.989E+30 kg
Me = 5.9722E+24 kg
R = 149,597,870 km
w = 2 * pi / (365.25 * 24 * 3600) radians/sec (that of earth)

We get r = 1,487,940 km, which is close to the 1,500,000 km value commonly referenced.

#AdityaL1
6/n

Here is a simple approx. method to compute the distance between L1 and Earth.

Let’s assume circular orbits.

At L1, the centrifugal force due the object's orbital motion must balance out the gravitational forces of Earth and the Sun.
i.e., Fsun = Fearth + Fc

Using the notations from the diagram, we have
Fsun = G * Ms * m / (R - r)^2 (Newton’s equation, G is the Gravitational constant)
Fearth = G * Me * m / r^2
Fc = m * w^2 * (R - r) (w (omega) is the angular speed in radians/s)

#AdityaL1
5/n

How can an object at L1 orbit around the Sun at the same period as Earth (365.25 days)?

It is well-known that objects closer to the sun have a smaller period. E.g., Venus has an orbital period of 225 days and Mercury 88 days.

But at L1, the object is under the influence of gravity from both the Sun and the Earth. The net gravitation force towards the Sun is smaller and hence the object can orbit at a lower angular speed and a lower centrifugal force.

#AdityaL1
4/n

India's first mission to Sun
Sending its spacecraft beyond
The Moon's south pole sky

#adityal1 #india #spaceexploration #haiku #poetry

http://www.bbc.co.uk/news/world-asia-india-66643805

Article by Dibyendu Nandi on the Aditya-L1 mission.
https://www.nature.com/articles/d44151-023-00127-8

#AdityaL1 #ISRO
3/n

Pic of Annapurni Subramaniam and other scientists associated with the Aditya-L1 mission.

Posted by physicist and astronomer Dibyendu Nandi on twitter at
https://twitter.com/ydnad0
#AdityaL1 #ISRO
2/n