TITLE:
Confrontation between Quantized Periods of Some Extra-Solar Planetary Systems and Observations
AUTHORS:
A. B. Morcos
KEYWORDS:
Quantization; Periods; Extra-Planetary; Extra-Solar Planet
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.3 No.2A,
June
19,
2013
ABSTRACT:
A simple formula, using the quantum numbers of solar
system planets and some quantized extra-solar planets, to estimate the periods,
is done. The quantum numbers, calculated by other authors, have been used to find the
orbital periods of solar system planets and some extra-solar planets. Observed
periods have been used to compare them with the estimated periods from the
given formula. It is found that the given relation is applicable perfectly for
the solar system planets. Some extra-solar planets, of stars having
approximately the same mass as the sun, are chosen to apply the same relation.
The differences between the observed and calculated periods for the extra-solar
systems have been calculated and tabulated. It is found that the percentage
errors between the predicted values and the corresponding observed values for
extra-planetary systems are controlled by the star’s mass and its quantum
number. The percentage error decreases by increasing the quantum number, for
quantum numbers over 4. When the quantum number is less than or equal 4, it is
found that the percentage error decreases by decreasing the quantum number.