Respuesta :
Answer:
sweeps out equal areas in equal times.
Explanation:
As we know that there is no torque due to Sun on the planets revolving about the sun
so we will have
[tex]\tau_{net} = 0[/tex]
now we have
[tex]\frac{dL}{dt}= 0[/tex]
now we also know that
[tex]Area = \frac{1}{2}r^2d\theta[/tex]
so rate of change in area is given as
[tex]\frac{dA}{dt} = \frac{1}{2}r^2\frac{d\theta}{dt}[/tex]
so we will have
[tex]\frac{dA}{dt} = \frac{1}{2}r^2\omega[/tex]
[tex]\frac{dA}{dt} = \frac{L}{2m}[/tex]
since angular momentum and mass is constant here so
all planets sweeps out equal areas in equal times.
