double star distance & maximum separation
parsec distance and arcsecond angular separation (ρ) by apparent magnitude (v.m), orbital radius (AU) & primary dwarf spectral type


O8VB5VA0VA5VF0VF5VG0VG5VK0VK5VM0V

M sol4010.52.902.251.601.331.050.930.800.650.50
v.M-4.4-1.11.42.12.63.44.45.25.98.09.2

v.m 4distance
479
1053324191386421
orbit 100.10.20.30.40.50.71.01.31.747
500.30.81.72235792235
2501.449111217243444109173
100061634434865961331757'11'
500028831712172446'8'11'15'36'58'
250001427'14'18'20'28'40'56'74'181'288'

v.m 6distance
1202
2638360483321141042
orbit 100.00.10.10.20.20.30.40.50.71.73
500.10.30.70.91.01.31.934914
2500.61.734571013184369
10002713171926385370171272
500011336886971321932686'14'23'
25000571656'7'8'11'16'22'29'72'115'

v.m 8distance
3020
66120915112083523626106
orbit 100.00.00.10.10.10.10.20.20.30.71.1
500.00.10.30.30.40.50.81.11.435
2500.20.71.41.71.934571727
10000.935781015212868108
500041327343952771071406'9'
2500022661361721932636'9'12'29'46'

v.m 10distance
7586
166052538030220913291662514
orbit 100.00.00.00.00.00.00.10.10.10.30.4
500.00.10.10.10.20.20.30.40.61.42
2500.10.30.50.70.81.01.523711
10000.41.0233468112743
50001.8511141521314256137218
2500092654687710515321327911'18'

Quoted separations based on constant periods of 22y [10 AU], 250y [50 AU], 2800y [250], 22,000y [1000 AU], 250,000y [5000 AU] and 2,800,000y [25,000 AU].

Separations based on primary star mass (M1) only, which reduces rigorous angular separation by ~20% in a matching 2M1 mass system; this compensates for unfavorable orbital inclination and aspect.

To incorporate companion mass under assumption of maximum aspect, multiply angular separation by the following factors for binary magnitude differences or mass ratios: (Δm=0.0, q=1.00) = 1.26, (Δm=1.0, q=0.63) = 1.18, (Δm=2.0, q=0.40) = 1.12, (Δm=3.0, q=0.25) = 1.08, (Δm=4.0, q=0.16) = 1.05.

Nomograms of parsec distance as a function of apparent magnitude and spectral type, for luminosity classes V, III and I.