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2. Free-fall time - Wikipedia

   en.wikipedia.org/wiki/Free-fall_time

   The free-fall time is the characteristic time that would take a body to collapse under its own gravitational attraction, if no other forces existed to oppose the collapse.. As such, it plays a fundamental role in setting the timescale for a wide variety of astrophysical processes—from star formation to helioseismology to supernovae—in which gravity plays a dominant ro

3. Equations for a falling body - Wikipedia

   en.wikipedia.org/wiki/Equations_for_a_falling_body

   Based on wind resistance, for example, the terminal velocity of a skydiver in a belly-to-earth (i.e., face down) free-fall position is about 195 km/h (122 mph or 54 m/s). [3] This velocity is the asymptotic limiting value of the acceleration process, because the effective forces on the body balance each other more and more closely as the ...

4. Tautochrone curve - Wikipedia

   en.wikipedia.org/wiki/Tautochrone_curve

   This is called Abel's integral equation and allows us to compute the total time required for a particle to fall along a given curve (for which / would be easy to calculate). But Abel's mechanical problem requires the converse – given (), we wish to find () = /, from which an equation for the curve would follow in a straightforward manner.

5. Equations of motion - Wikipedia

   en.wikipedia.org/wiki/Equations_of_motion

   There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

6. Three-body problem - Wikipedia

   en.wikipedia.org/wiki/Three-body_problem

   In 2018, Li and Liao reported 234 solutions to the unequal-mass "free-fall" three-body problem. [22] The free-fall formulation starts with all three bodies at rest. Because of this, the masses in a free-fall configuration do not orbit in a closed "loop", but travel forward and backward along an open "track".

7. Galileo's law of odd numbers - Wikipedia

   en.wikipedia.org/wiki/Galileo's_law_of_odd_numbers

   In classical mechanics and kinematics, Galileo's law of odd numbers states that the distance covered by a falling object in successive equal time intervals is linearly proportional to the odd numbers. That is, if a body falling from rest covers a certain distance during an arbitrary time interval, it will cover 3, 5, 7, etc. times that distance ...