mass of lensing object distance Einstein ring radius
(parsecs) (m) degrees arcseconds
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lensed by a star
1 solar mass 100 3 x 1018 0.0000025 0.0089
(2 x 1030 kg) 1,000 3 x 1019 0.00000078 0.0028
10,000 3 x 1020 0.00000025 0.00089
lensed by a galaxy
1012 solar 100 Mpc 3 x 1024 0.0025 8.9
(2 x 1042 kg) 1,000 Mpc 3 x 1025 0.00078 2.9
10,000 Mpc 3 x 1026 0.00025 0.89
lensed by galaxy cluster
1015 solar 1,000 Mpc 3 x 1025 0.025 89
(2 x 1045 kg) 10,000 Mpc 3 x 1026 0.0078 28
100,000 Mpc 3 x 1027 0.0025 8.9
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