The whole basis of Kepler's laws are on the fact that the planets in our solar system in an elliptical pattern rather than a circular pattern. This would make a world of difference. I am not sure on restating the laws, but I am sure it would be somewhere along the lines of a change in the equation and the fact that all the planets would orbit equally around the sun, at the same speed, no matter where each individual planet is in its orbital loop.
A consequence of Kepler's Second Law (law of equal areas) is that a planet moves faster in its orbit when it is closer to the Sun and slower when it is farther away. This results in an uneven distribution of orbital velocities throughout the planet's orbit.
The orbits of the planets, including Mars, are eliptical, not circular. Keplers observed positions did not fit a circular orbit. The differences led him to discover that the orbits were not circular, but eliptical.
Johannes Kepler (1571-1630), a German who travelled to Prague to become the assistant of Brahe, was studying the orbit of Mars and while examining that data discovered the Laws of Planetary Motion which state an elliptical orbit rather than a circular one.
Venus has the almost circular orbit.
circuitous path orbit
No planet has a perfectly circular orbit, though Venus has the least orbital eccentricity of any planet in our solar system.
An eliptical orbit. In theory a planet could also have a circular orbit, but no planet that we know of has a perfectly circular orbit, although some have a nearly circular orbit.
A circular orbit would have an eccentricity of 0, meaning the orbit is perfectly circular with no deviation. Eccentricity is a measure of how elongated an orbit is, ranging from 0 to 1, with 0 indicating a circle and 1 indicating a parabolic orbit.
An elliptical orbit is a non-circular orbit where the orbiting object follows an elongated path around another object.
The earths orbit around the sun is almost circular.
The velocity in a circular orbit changes all the time. The acceleration is towards the center.
circular