  Several papers have recently suggested the possible presence of a ninth
planet (Planet X) that might explain the gravitational perturbations of a
number of detached Trans-Neptunian objects. To analyze the possibility further,
we have applied celestial mechanics, engineering physics and statistical
analysis to develop improved estimates of the planet's primary orbital elements
and mass from first engineering principles, using the orbital characteristics
of both the original group of 6 objects analyzed and also a second group
comprising the original 6 together with 6 additional long-period asteroids
selected by the authors. We show that the driving force behind the observed
clustering is gravitational torque that arranges the orbits of asteroids in a
systematic, orderly manner, and we develop the associated equations of motion.
As evidence we show that the expected effects are fully apparent in the orbital
characteristics of the correlated bodies involved, including most strikingly
regarding their orbital planes, azimuth orientations and specific relative
angular momenta, which we show generates a highly unexpected form of resonance
in their relative angular momenta. We further show that the coordinates of
Planet 9's orbit are close to the original values proposed recently by other
authors, although we prove that its period has to be dramatically smaller than
that proposed in recent literature by Batygin and Brown, 2019, at about 3500
yrs, the eccentricity is near 0.65, and its mass approximately 8.4 times the
Earth's mass. Given the predicted orbit we show that the planet has apparently
created numerous mean motion resonances, of which seven are noted specifically.
As for a possible observation, Planet X, would range between V=18.9 and 26.1,
probably with a magnitude of about 24.8.
