Dne 18/01/2018 v 11:55 Peter Riedt napsal(a):
On Thursday, January 18, 2018 at 2:33:29 PM UTC+8, Libor 'Poutnik' StÅ™Ã*ž wrote:

[km] = [s/year /(2pi)] * [km/s] * [year]

Your constant is an ordinary proportional constant
of relation of a circle radius in km,
the mean speed in km/s and the period in years.

If linearized, it is an indeed "powerful" formula

length = mean_speed * time


For an ellipse, it is not exact.

As it incorrectly supposes that
for the given period and semi major axis "a"
the orbit has the same mean speed
as a circular orbit would have, what is not true.

The various elliptical orbits with the same semi major axis
have the same period. But their mean speed nor the perigee speed
nor the apogee speed are NOT the same.

As the ellipse circumference is less than 2.pi.a.

But even this is not new for you,
as this was discussed with you before
ad nausea several times.

Your comments are valid but irrelevant. What is relevant is Y allows to predict accurately missing elements of orbits of solar objects.

No, it does not.
It fits only if you deliberately choose a particular speed value.

--
Poutnik ( The Pilgrim, Der Wanderer )

A wise man guards words he says,
as they say about him more,
than he says about the subject.