Central orbit & central force

Here you will find problems and solutions related to central orbit and central force

(Q) Find the differential equation of central orbit.

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(Q) Find the pedal for of differential equation of central orbit

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(Q) A particle describes a central orbit r^n=a^n cos nθ under a force directed towards the pole. Find the law of force. Find further the velocity at any position.

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(Q) A particle describes the equi-angular spiral r=ae^θcotα under a force F to the pole. Find the law of force and velocity in terms of r.

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(Q) Find the law of force in the orbit is an ellipse under a force to the focus.

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(Q) Find the law of force in the orbit is an ellipse under a force to the centre.

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(Q) Find the law of force in the orbit is a parabola under a force to the focus.

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(Q) Find the law of force in the orbit r²=2ap under a force to the pole.

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(Q) Find the law of force in the orbit b²/p²=2a/r+1 under a force to the pole

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(Q) Find the law  of force in the orbit r⁴=a⁴cos4θ under a force to the pole.

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(Q) Find the law of force in the orbit is r²=a²sin2θ under a force to the pole.

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