Tracking system
A tracking system for tracking an object, the system having a first axis and a second axis perpendicular to the first axis. The first axis is at an angle to the vertical such that the object (or equivalently its path) does not intersect the first axis.
1. A tracking system for tracking a celestial object for use in a location where the object passes through or near the zenith, comprising:
a first axis for tracking the object, said first axis being offset from vertical; and
a second axis for tracking the object, said second axis being substantially perpendicular to said first axis;
wherein said first axis is offset from the vertical by an angle that removes an upward projection of said first axis from the apparent path of the object by an amount that renders an overall speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith;
wherein said angle has a component of at least A in a direction away from the equator, where:
A
=
23.5
°
-
λ
+
45
(
degree
s
2
/
min
)
2
σ
and where λ is the latitude of said tracking system and σ is the maximum angular velocity with which said tracking system can evolve said first axis in degrees per minute.
2. A system as claimed in claim 1 , wherein said angle has a component at least 2° greater than A in a direction away from the equator.
3. A system as claimed in claim 1 , wherein said angle has a component at 5° greater than A in a direction away from the equator.
4. A system as claimed in claim 1 , wherein said angle has a component greater than A in a direction away from the equator determined so as to minimize the additional cost associated with high tolerance or mechanical demands.
5. A system as claimed in claim 1 , further comprising at least one photosensor for sensing light received either directly or indirectly from a tracked object to refine the tracking of said object.
6. A system as claimed in claim 1 , operable to track said object by means of suitably calculated tables or progressive calculation.
7. A system as claimed in claim 1 , operable to track said object by means of altitude-azimuth tables or calculations, translated on the basis of said angle to values appropriate for said first and second axes.
8. A tracking system as claimed in claim 1 , wherein said angle removes said upward projection of said first axis from the apparent path of the object by an amount that renders an azimuthal speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith.
9. A tracking system for tracking a celestial object for use in a location where the object passes through or near the zenith, comprising:
a first axis for tracking the object, said first axis being offset from vertical;
a second axis for tracking the object, said second axis being substantially perpendicular to said first axis; and
adjustment means for adjusting an angle of offset of said first axis from the vertical;
whereby said angle can be adjusted so that an upward projection of said first axis is removed from the apparent path of the object by an amount that renders an overall speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith;
wherein said angle has a component of at least A in a direction away from the equator, where:
A
=
23.5
°
-
λ
+
45
(
degrees
2
/
min
)
2
σ
and where λ is the latitude of said tracking system and σ is the maximum angular velocity with which said tracking system can evolve said first axis in degrees per minute.
10. A tracking system as claimed in claim 9 , wherein said angle removes said upward projection of said first axis from the apparent path of the object by an amount that renders an azimuthal speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith.
11. A method for tracking a celestial object for use in a location where the object passes through or near the zenith, comprising:
arranging a first axis for tracking the object, said first axis being offset from vertical;
arranging a second axis for tracking the object, said second axis being substantially perpendicular to said first axis; and
orienting said first axis at an angle of offset from the vertical so that an upward projection of said first axis is removed from the apparent path of the object by an amount that renders an overall speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith;
wherein said angle has a component of at least A in a direction away from the equator, where:
A
=
23.5
°
-
λ
+
45
(
degrees
2
/
min
)
2
σ
and where λ is the latitude of said tracking system and σ is the maximum angular velocity with which said tracking system can evolve said first axis in degrees per minute.
12. A method as claimed in claim 11 , wherein said angle has a component at least 2° greater than A in a direction away from the equator.
13. A method as claimed in claim 11 , wherein said angle has a component at 5° greater than A in a direction away from the equator.
14. A method as claimed in claim 11 , wherein said angle has a component greater than A in a direction away from the equator determined so as to minimize the additional cost associated with high tolerance or mechanical demands.
15. A method as claimed in claim 11 , including orienting said first axis at an angle of offset from the vertical so that said upward projection of said first axis is removed from the apparent path of the object by an amount that renders an azimuthal speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith.
16. A method for providing a tracking system for tracking a celestial object at a location where the object passes through or near the zenith, comprising:
providing at said location an alt-azimuth tracking system having an azimuth axis and an altitude axis; and
arranging said alt-azimuth tracking system so that said azimuth axis is oriented at an angle to the vertical so that an upward projection of said azimuth axis is removed from the apparent path of the object by an amount that renders an overall speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith;
wherein said angle has a component of at least A in a direction away from the equator, where:
A
=
23.5
°
-
λ
+
45
(
degrees
2
/
min
)
2
σ
and where λ is the latitude of said tracking system and σ is the maximum angular velocity with which said tracking system can evolve said first axis in degrees per minute.
17. A tracking system for tracking a celestial object for use in a location where the object passes through or near the zenith, comprising:
a first axis for tracking the object, said first axis being offset from vertical; and
a second axis for tracking the object in substantially altitude, said second axis being substantially perpendicular to said first axis;
wherein said first axis is offset from the vertical by an angle that removes an upward projection of said first axis from the apparent path of the object by an amount that renders an overall speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith, wherein said angle has a component of at least A in a direction away from the equator, where:
A
=
23.5
°
-
λ
+
45
(
degrees
2
/
min
)
2
σ
and where λ is the latitude of said tracking system and σ is the maximum angular velocity with which said tracking system can evolve said first axis in degrees per minute.
18. A tracking system as claimed in claim 17 , wherein said angle removes said upward projection of said first axis from the apparent path of the object by an amount that renders an azimuthal speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith.
19. A tracking system for tracking a celestial object for use in a location where the object passes through or near the zenith, comprising:
a first axis for tracking the object, said first axis being offset from vertical; and
a second axis for tracking the object, said second axis being substantially perpendicular to said first axis;
adjustment means for adjusting an angle of offset of said first axis from the vertical;
whereby said angle can be adjusted so that an upward projection of said first axis is removed from the apparent path of the object by an amount that renders an overall speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith, and said angle has a component of at least A in a direction away from the equator, where:
A
=
23.5
°
-
λ
+
45
(
degrees
2
/
min
)
2
σ
and where λ is the latitude of said tracking system and σ is the maximum angular velocity with which said tracking system can evolve said first axis in degrees per minute.
20. A tracking system as claimed in claim 19 , wherein said angle removes said upward projection of said first axis from the apparent path of the object by an amount that renders an azimuthal speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith.
21. A method for tracking a celestial object for use in a location where the object passes through or near the zenith, comprising:
arranging a first axis for tracking the object, said first axis being offset from vertical;
arranging a second axis for tracking the object, said second axis being substantially perpendicular to said first axis; and
orienting said first axis at an angle of offset from the vertical so that an upward projection of said first axis is removed from the apparent path of the object by an amount that renders an overall speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith;
wherein said angle has a component of at least A in a direction away from the equator, where:
A
=
23.5
°
-
λ
+
45
(
degrees
2
/
min
)
2
σ
and where λ is the latitude of said tracking system and σ is the maximum angular velocity with which said tracking system can evolve said first axis in degrees per minute.
22. A method as claimed in claim 21 , including orienting said first axis at an angle of offset from the vertical so that said upward projection of said first axis is removed from the apparent path of the object by an amount that renders an azimuthal speed of said tracking system sufficient to maintain tracking of the object as the object passes through or near the zenith.