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State Kepler's laws on planetary motion. Explain the way the three laws can be proved. |
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Answer» Solution :1st part: 2nd part: If `r_1 and r_2` are the shortest and the longest distances of the planet from the sun , then the semimajor axis is given by `((r_1+r_2)/2)`. 1st law is proved from angular momentum conservation INA CIRCULAR path. Since, L= `2mxx` are VELOCITY , for equal time, area sweptwill be same . so, 2nd law is proved. From `F=(GM_0m)/(r^2),(mv^2)/r=F and T=(2pir)/(v)` one can prove `T^2prop r^3`. so, 3RD law is also proved. |
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