Resonance of Venus and Earth
Program Resonance.java does the following:
1) The simulation starts on June 10, 1996 - when Venus and Earthwere
at inferior
conjunction. A pole points out from Venus's
equatorpointing to the Earth at start
time. The pole shows Venus's retrograde rotation and the
alignment(resonance)
at subsequent inferior conjunctions. Program returns to
startdate at the end of 2010.
2) Notice that every 5th midnight, when the pole is facing away from
the sun, it points to the Earth.
3) The Sun is yellow. Venus is white with a pole protruding fromits
equator. The
Earth is the blue object. The orbital distances are to
scale. The diameters of the
Sun, Venus and Earth are much larger than scale.
4) The program updates the positions once per simulated
day. Dates of
inferior conjunctions are not precise. Once per day
integrationand mean values
used to simulate eliptical orbits cause some errors to accumulate.
5) Orbits are calculated with circular values.
6) The Venusian surface longitude nearest the earth on June 8,
2004 at conjunction is 334.7 degrees.
The Venusian surface longitude nearest the
earth on June 6, 2012 at conjunction is 337.8 degrees.
That is very close considering that both
orbits are elliptical.
7) Values used in this simulation:
Sidereal year for Earth - 365 days6
hr. 9 min 9.54 sec or 0.986607372 deg.
heliocentric
longitude / 24 hour earth day.
Sidereal year for Venus -
224.701earth days or 1.6029130602 deg.
heliocentric
longitude / 24 hour earth day.
Sidereal Rotation of Venus -
243.0187earth days or 1.4813674832 deg. of
rotation
/ 24 hour earth day.
Version: May 3, 2000 by Victor McAllister