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I continue to work on arranging the "disappearing dots" into a model of Barbarossa's system. Herein I present my latest, most accurate (correcting my transcription error in the coordinates of one object, and increasing the accuracy of my adjustments for Earth parallax), most plausible and most conservative model to date.
Three dots are plausibly Barbarossa. These are (using the names of convenience I've assigned them as I've worked):
A2. POSS-I (Red) plate date 1954.154, geocentric position RA 11 02 25.16 Decl -5 56 11.3
C. SERC (Red) plate 1987.08215, RA 11 18 03.18 Decl -7 58 46.1
D. SERC-I (Optical Infrared) plate 1997.16711, RA 11 22 16.77 Decl -8 29 30.9.
The position of C differs 95 arcsec from its expected, parallax-corrected, great-circle interpolated position between A2 & D. Though this deviation is, I think, about 10x bigger than the errors inherent in my model or in my calculations, the only component of the deviation big enough to demand explanation, is that perpendicular to Barbarossa's path (i.e., the path from A2 to D).
Two more dots are consistent with the moon Frey in a near-circular approx. 1.4 AU, 22-yr orbit inclined only a few degrees to Barbarossa's orbital plane:
A. POSS-I (Red) plate date 1954.154, geocentric position RA 11 03 12.4 Decl -5 58 09
D2. SERC-I (Optical Infrared) plate 1997.16711, RA 11 22 32.9 Decl -8 26 56.
I've found yet three more dots, two of which could be consistent with the moon Freya in a near-circular 2 AU orbit moderately inclined to Frey's:
B8. UK-Red plate approx. date 1986.199, geocentric position RA 11 14 58 Decl -7 42 20
or
C5. SERC (Red) plate 1987.08215, RA 11 16 04.4 Decl -7 47 51 ;
and
E2. SERC-I (Optical Infrared) plate approx. date 1995.140, approx. RA 11 19 43 Decl -8 06 50.
These orbits imply about 0.0054 solar mass for Barbarossa and much lower mass for Frey and Freya. The total system mass thus could be close to the earlier predicted 0.0068 solar mass which smoothed the net Pioneer 10/11 accelerations.
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