- #1
gupta.shantan
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Homework Statement
There is a fixed spherical body of mass M whose center is to be taken as origin. Another body of mass m whose initial position vector [itex]\vec{r}[/itex] is given. This body is projected with initial velocity [itex]\vec{v}[/itex]. Find the equation of trajectory of body with mass m around the body with mass M.
Homework Equations
Will the trajectory be an ellipse, just like the orbit of Earth around the sun?
The Attempt at a Solution
I tried solving the position using Newton's Law of Gravity. I also tried using the formula a = v dv/dx and integrating but was unable to reach a solution.
Any help is greatly appreciated...