Gravitation(angular deflection of a planet from a massive star)

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To calculate the angular deflection of a planet passing near a massive star, one can use the principles of angular momentum and the initial and final perpendicular distances from the star's center. The behavior of the planet during this close encounter can be predicted by analyzing its motion as a solution to the Kepler problem, which describes the motion of celestial bodies under gravitational influence. It is essential to treat both the planet and star as perfectly spherical for accurate calculations. Understanding the velocity changes and gravitational effects during the encounter will aid in predicting the trajectory. This approach provides a framework for analyzing gravitational interactions in astrophysical scenarios.
ErwinMoses
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i was just thinking , a planet comes close to a very massive star but doesn't collide .how can i calculate the its angular deflection.?

i can calculate the velocity afterwards the deflection(given the initial and final perpendicular distances of its course from center of the star) using angular momentum principle,but how can i predict the behavior of the planet during such an event?

i am considering the planets and stars to perfectly spherical.
no idea how to start.
 
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You can calculate the "orbital" parameters (even if it is not a proper orbit). The motion is a solution of the Kepler problem (=google keyword).
 
thanks.
 

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