Given a particle with mass m is locate at the point A, the Earth O with mass M, OA=aR, OB=R, the particle is launched (without air resistance) as the picture shown.
圖片參考：http://imgcld.yimg.com/8/n/HA06881079/o/701204290061313873401710.jpg
For θ=π/2 (g=GM/R²)
(1)Discuss the value of vo and the types of the trajectory.
(2)Find the mini. value of vo, such that the particle can't touch the Earth.
(in terms of a, R, g or m)
Trajectory of a satellite
2012-04-30 1:34 am
回答 (3)
2012-05-03 5:20 am
2012-04-30 8:43 am
so expecting mathematical proof for the trajectory
2012-04-30 8:20 am
This problem is not so easy!
2012-05-03 00:46:32 補充：
1. When vo² < 2gR/a, the path is an ellipse, not necessarily around the Earth.
2. When vo² = 2gR/a, the path is a parabola.
3. When vo² > 2gR/a, the path is a hyperbola.
4. When vo² > 2gR/(a²+a), the path will not touch the Earth.
2012-05-03 00:46:32 補充：
1. When vo² < 2gR/a, the path is an ellipse, not necessarily around the Earth.
2. When vo² = 2gR/a, the path is a parabola.
3. When vo² > 2gR/a, the path is a hyperbola.
4. When vo² > 2gR/(a²+a), the path will not touch the Earth.
收錄日期: 2021-04-23 23:28:39
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https://hk.answers.yahoo.com/question/index?qid=20120429000051KK00613