Help with astrophysics research for a high school student
Help with astrophysics research for a high school student
Hello everyone! I'm a high school student, and currently I'm visiting a research club and writing my own paper, it's related to astrophysics. The topic itself is "Study of the dynamic stability boundary of Trojan asteroids at the L4 Lagrange point of the Sun-Jupiter system with changes in the mass ratio of the components"
I didn't write any research papers before, and this is my first one. I'm quite good at analyzing many information and writing, also my physics and math are okay, but I struggle with explaining all physical processes in academic English because it's not my native language, even if my level us around B1-B2. I would be very grateful for any sources of information for my work, and any tips too, especially on where I could demonstrate the possible simulation where I change the masses, orbits of planets. I've heard about some stuff on Python, but I'm not too good at it, though I could try.
Also, here is the introduction to my research. I know I'll probably have to rewrite it and change everything, but I'd appreciate it if people who are good in this gave me fair advices.
Introduction:
The discovery of a Trojan asteroid "Achilles" with a exceptionally unusual orbit by Max Wolf on 22nd of February of 1906 made the case of Lagrangian point that has been previously considered as a purely theoretical one transform into an actual problem of motion, which gradually evolved into one of the most important studies of Solar System dynamics. The asteroid remained ahead of Jupiter as the planet moved, and somehow, "Achilles" was also confined in its orbit. This particular movement led another astronomer, Carl Charlier from Sweden, to connect it to the specific behavior that had been previously formulated by the French mathematician Joseph-Louis Lagrange more than 100 years ago. Lagrange claimed that if a small body (like asteroid in this case) is located at one of the stable points across planets (Jupiter’s here) orbit around the Sun (as we know them now, L4 and L5 Lagrange points), the body would remain static from the planet's perspective because of the collective gravitational forces of the planet itself and the Sun. 8 months later, another asteroid in Jupiter's different stable Lagrange point (L5) was discovered by August Kopff, one of Wolf's graduate students. After these primary discoveries, more and more asteroids were found, identified with Greek and Roman apellations, and later named after famous heroes of Trojan war. Gradually, asteroid groups in L4 were referred to as "Greek camp", and in L5 "Trojan camp" respectively.
This research has a main goal of exploring the previously formulated conditions for celestial bodies in Lagrange points, such as dynamic stability boundary in L4 explicitly. It will be tested mathematically, within Sun-Jupiter system with different changes of mass ratio in the components to realize how it will affect the centripetal and gravitational forces in 4th Lagrange point