# Kepler's Laws

Kepler's laws revolutionized our understanding of planetary motion, providing fundamental principles that laid the groundwork for modern celestial mechanics. Johannes Kepler, a pioneering astronomer of the 17th century, formulated three laws that describe the orbits of planets around the Sun with remarkable precision. These laws not only challenged the prevailing geocentric model but also paved the way for Isaac Newton's theory of universal gravitation. In this introduction, we will explore Kepler's laws in detail, unraveling their significance in shaping our comprehension of the cosmos and their enduring relevance in contemporary astrophysics.

Questions

- What is the Newton's version of Kepler's third law?
- A satellite was placed in an orbit above the earth's atmosphere, at a distance of 15,000 km from the center of the earth. What is the orbital period (in hours) of the satellite?
- The distance between two objects with mass m1 and m2 are in the intergalactic space is equal to l. With no other forces acting except gravity, how soon will they collide?
- What would happen to the earth if both the sun and the moon were to disappear instantly?
- How can I use Kepler's law of harmonies to predict the time Mars takes to orbit the sun?
- What is Kepler's law of orbital motion?
- In a binary star system, a small white dwarf orbits a companion with a period of 52 years at a distance of 20 A.U. What is the mass of the white dwarf assuming the companion star has mass of 1.5 solar masses? Many thanks if anyone can help!?
- What did Newton add to our understanding of Kepler's laws?
- How do you prove #a=v^2/r# and #a=r\omega^2# using a circle and vector diagram?
- How do you solve for L in T = 2 π √ L g ?
- What does it mean to say that Kepler's Laws are 'empirical'?
- How are Kepler's Laws important to astronomy?
- Which scientist is credited with the collection of the data necessary to support the planet's elliptical motion?
- If the radius of the orbit is half then the numbdr of days in 1 year will be?
- What does it mean to say Keplers laws are empirical in nature?
- How do you solve for #g# in #T = 2pi sqrt(L/g)#?
- On the earth, 49 degrees of latitude is how many kilometers? how many miles? (Assume that the radius of the earth is 6400 km, or 4000 mi, approximately.)
- The distances of two planets from the sun are 10^12 m and 10^10 m respectiuely. Then the ratio of time periods of those planets is____?
- A satellite is placed in synchronous orbit around an exoplanet of mass 44⨯10^24 kg and radius 18⨯10^6 m. If the planet's day is 87.8 hours, at what altitude should you place the satellite?
- The distance between two objects with mass m1 and m2 are in the intergalactic space is equal to l. With no other forces acting except gravity, how soon will they collide?