Astronomy & Astrophysics

Table 1: Asymptotic dependency of image motion variance $\Delta ^2$ on S and D.
k

$\nu$ 2 3 4 5 6 7 8

3 S²D^-2+p $\fbox{--}$ S^3+pD^-3 - S^3+pD^-3 - S^3+pD^-3

4 S²D^-2+p - $\framebox{$ S^{4}D^{-4+p}$ }$ - S^4+pD^-4 - S^4+pD^-4

5 S²D^-2+p - S⁴D^-4+p $\framebox{--}$ S^5+pD^-5 - S^5+pD^-5

6 S²D^-2+p - S⁴D^-4+p - $\fbox{$S^{6}D^{-6+p}$ }$ - S^6+pD^-6

7 S²D^-2+p - S⁴D^-4+p - S⁶D^-6+p $\fbox{--}$ S^7+pD^-7

8 S²D^-2+p - S⁴D^-4+p - S⁶D^-6+p - $\fbox{$S^{8}D^{-8+p}$ }$

9 S²D^-2+p - S⁴D^-4+p - S⁶D^-6+p - S⁸D^-8+p

**Table 1:** Asymptotic dependency of image motion variance $\Delta ^2$ on S and D.
				k
$\nu$	2	3	4	5	6	7	8
3	S²D^-2+p	$\fbox{--}$	S^3+pD^-3	-	S^3+pD^-3	-	S^3+pD^-3
4	S²D^-2+p	-	$\framebox{$ S^{4}D^{-4+p}$ }$	-	S^4+pD^-4	-	S^4+pD^-4
5	S²D^-2+p	-	S⁴D^-4+p	$\framebox{--}$	S^5+pD^-5	-	S^5+pD^-5
6	S²D^-2+p	-	S⁴D^-4+p	-	$\fbox{$S^{6}D^{-6+p}$ }$	-	S^6+pD^-6
7	S²D^-2+p	-	S⁴D^-4+p	-	S⁶D^-6+p	$\fbox{--}$	S^7+pD^-7
8	S²D^-2+p	-	S⁴D^-4+p	-	S⁶D^-6+p	-	$\fbox{$S^{8}D^{-8+p}$ }$
9	S²D^-2+p	-	S⁴D^-4+p	-	S⁶D^-6+p	-	S⁸D^-8+p

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