Perihelion has the SLOWEST orbit_speed, (but fastest angle_speed).(?)

[Capiert]

Periside (e.g. perihelion, is the nearest distance to the sun, &)
 has the slowest orbit_speed, but fastest angle_speed (angular_velocity);
 &
 Apside (e.g. Aphelion is the farthest distance (away) from the sun)
 has the fastest orbit_speed, & slowest angle_speed (angular_velocity).

I distinguish
 between orbit_speed (v_c=Cir/T=2*Pi*r/T);
 versus the angle_speed f=(theta/t)*(1 [cycle]/360°) =1/T

 called frequency,
 for the angle theta in (units) [degree(s)]=[°];
 t is an amount of time (duration, e.g. difference in time)
 in (units) [second(s)];
 & period T is the (amount of) time (duration), per cycle.

 (Disclaimer:
 otherwise Kepler's 3rd law
 is NONSENSE
 (for me),
 from who I pity).

Tycho (Brahe)
 (only) measured
 planets'(_position):
 angles
 & time (dates);
 so we
 can calculate
 the(ir orbits) angular_speeds,
 e.g. how fast arcs (=angles).
 are swept.

To summarize (my interpretation):
1.
Kepler found
 that (planets') obits
 were NOT perfect circles
 (& (he simply) approximated that (orbit)
 to an ellipse (math)).
2.
Instead,
 an egg (shaped orbit)
 has only 1 focus (center),
 found near the smaller end.

(The conic_section
 was done (algebraically)
 from a cone

 (with its circular base sitting
 on the ground (y=0),
 & its apex (x,y=0,H=0,1) up
 at the top)

 having the same radius R=H=1
 equal to its height H
 (which seems to be the key
 to the results);
 & then normalizing
 by dividing
 by the egg's total (diagonal_)length L
 which starts at the cone's base_circumference (left_side, x,y=-1,0)
 going (diagonally up, to the right)
 thru the center axis (focus x,y=0,h)
 where the (partial) height (fraction) h
 is the eccentricity (Epsilon);
 (& continues till it pierces (out, thru) the cone's right side).
Your mathematicians
 should be capable
 of similar results.
If you DON'T believe me
 you can form bread dough
 & cut it, appropriately.)
 
Equal arcs (=angles) are swept [out]
 in equal times.
3.
A circular orbit_period
 T=2*Pi*((r/g)^0.5), g=ac
 (has a formula
 similar to a Pendulum's_period)
 which is similar
 to Newton's centifugal_acceleration
 a_c=v_c²/r
 if a_c=g.
Why should an orbit_speed v_c
 increase
 with smaller radius?
E.g. For very small eccentricities?
(It does NOT, because..)
There is NO consistency,
 when extrapolating
 to large(r) eccentricities.
Nature does NOT abruptly change her laws;
 (but) men do.
Especially when they did NOT understand.

Edited Tuesday at 08:18 AM by Capiert
Corrected.

 

[Phi for All]

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[Phi for All]

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