Abstract

The UV spectrometer polarimeter instrument on the Solar Maximum Mission spacecraft has been used to measure ozone in the 53–75-km altitude interval by the technique of solar occultation. A 1 × 180-sec of arc entrance aperture spectrometer with 0.04-Å spectral resolution was employed. Resulting high-quality data are reduced by expressing measured UV attenuation as a Volterra integral equation. Solution of the equation is accomplished by expressing the integral in terms of a series representing the sum of ozone densities contained in concentric shells through tangent points separated by specified altitude increments. Sample ozone vs altitude profiles are presented for the equatorial region. These data show reproducibility to better than 10%. The density at 60 km is 7.3 ± 0.15 × 109 cm−3 for 2.5° latitude and longitudes between 81 and 105° west in Sept. 1980. Density vs altitude profile exhibits changes in slope between 50 and 75 km.

© 1982 Optical Society of America

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References

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  1. B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
    [CrossRef]
  2. Explanatory Supplement of the Astronomical Ephemeris and to the American Ephemeris and Nautical Almanac (U.S. GPO, Washington, D.C., 1961).
  3. R. R. Bate, D. D. Mueller, J. E. White, Fundamentals of Astrodynamics (Dover, New York, 1971).
  4. Aids for Computers (U.S. Naval Observatory, Washington, D.C., 1980).
  5. W. Gellert, H. Kustner, M. Hellwich, H. Kastner, The VNR Concise Encyclopedia of Mathematics (Van Nostrand Reinhold, New York, 1977).
    [CrossRef]
  6. D. Wells, Theory and Problems of Lagrangian Dynamics (McGraw-Hill, New York, 1967).
  7. W. A. Heiskanen, F. A. Vening Meinesz, The Earth and Its Gravitational Field (McGraw-Hill, New York, 1958).
  8. W. T. Chui, in Inversion Methods in Atmospheric Remote Sounding, A. Deepak, Ed. (Academic, New York, 1977).
  9. P. B. Hays, R. G. Roble, A. N. Shah, Science 176, 793 (1972).
    [CrossRef] [PubMed]
  10. E. C. Y. Inn, Y. Tanaka, in Ozone Chemistry and Technology, Ed. (American Chemical Society, Washington, D.C., 1959), pp. 263–268.
    [CrossRef]
  11. E. Vigroux, Ann Phys. Paris 8, 709 (1953).

1980 (1)

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

1972 (1)

P. B. Hays, R. G. Roble, A. N. Shah, Science 176, 793 (1972).
[CrossRef] [PubMed]

1953 (1)

E. Vigroux, Ann Phys. Paris 8, 709 (1953).

Bate, R. R.

R. R. Bate, D. D. Mueller, J. E. White, Fundamentals of Astrodynamics (Dover, New York, 1971).

Beckers, J. M.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Brandt, J. C.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Bruner, E. C.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Chui, W. T.

W. T. Chui, in Inversion Methods in Atmospheric Remote Sounding, A. Deepak, Ed. (Academic, New York, 1977).

Gellert, W.

W. Gellert, H. Kustner, M. Hellwich, H. Kastner, The VNR Concise Encyclopedia of Mathematics (Van Nostrand Reinhold, New York, 1977).
[CrossRef]

Hays, P. B.

P. B. Hays, R. G. Roble, A. N. Shah, Science 176, 793 (1972).
[CrossRef] [PubMed]

Heiskanen, W. A.

W. A. Heiskanen, F. A. Vening Meinesz, The Earth and Its Gravitational Field (McGraw-Hill, New York, 1958).

Hellwich, M.

W. Gellert, H. Kustner, M. Hellwich, H. Kastner, The VNR Concise Encyclopedia of Mathematics (Van Nostrand Reinhold, New York, 1977).
[CrossRef]

Henze, W.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Hyder, C. L.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Inn, E. C. Y.

E. C. Y. Inn, Y. Tanaka, in Ozone Chemistry and Technology, Ed. (American Chemical Society, Washington, D.C., 1959), pp. 263–268.
[CrossRef]

Kalet, M. W.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Kastner, H.

W. Gellert, H. Kustner, M. Hellwich, H. Kastner, The VNR Concise Encyclopedia of Mathematics (Van Nostrand Reinhold, New York, 1977).
[CrossRef]

Kenny, P. J.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Kno, E. D.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Kustner, H.

W. Gellert, H. Kustner, M. Hellwich, H. Kastner, The VNR Concise Encyclopedia of Mathematics (Van Nostrand Reinhold, New York, 1977).
[CrossRef]

Michalitsianos, A. G.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Mueller, D. D.

R. R. Bate, D. D. Mueller, J. E. White, Fundamentals of Astrodynamics (Dover, New York, 1971).

Rehse, R.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Roble, R. G.

P. B. Hays, R. G. Roble, A. N. Shah, Science 176, 793 (1972).
[CrossRef] [PubMed]

Shah, A. N.

P. B. Hays, R. G. Roble, A. N. Shah, Science 176, 793 (1972).
[CrossRef] [PubMed]

Shine, R. A.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Tanaka, Y.

E. C. Y. Inn, Y. Tanaka, in Ozone Chemistry and Technology, Ed. (American Chemical Society, Washington, D.C., 1959), pp. 263–268.
[CrossRef]

Tandberg-Hanssen, E. A.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Tinsley, H. D.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Vening Meinesz, F. A.

W. A. Heiskanen, F. A. Vening Meinesz, The Earth and Its Gravitational Field (McGraw-Hill, New York, 1958).

Vigroux, E.

E. Vigroux, Ann Phys. Paris 8, 709 (1953).

Wells, D.

D. Wells, Theory and Problems of Lagrangian Dynamics (McGraw-Hill, New York, 1967).

White, J. E.

R. R. Bate, D. D. Mueller, J. E. White, Fundamentals of Astrodynamics (Dover, New York, 1971).

Woodgate, B. E.

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Ann Phys. Paris (1)

E. Vigroux, Ann Phys. Paris 8, 709 (1953).

Science (1)

P. B. Hays, R. G. Roble, A. N. Shah, Science 176, 793 (1972).
[CrossRef] [PubMed]

Sol. Phys. (1)

B. E. Woodgate, E. A. Tandberg-Hanssen, E. C. Bruner, J. M. Beckers, J. C. Brandt, W. Henze, C. L. Hyder, M. W. Kalet, P. J. Kenny, E. D. Kno, A. G. Michalitsianos, R. Rehse, R. A. Shine, H. D. Tinsley, Sol. Phys. 65, 73 (1980).
[CrossRef]

Other (8)

Explanatory Supplement of the Astronomical Ephemeris and to the American Ephemeris and Nautical Almanac (U.S. GPO, Washington, D.C., 1961).

R. R. Bate, D. D. Mueller, J. E. White, Fundamentals of Astrodynamics (Dover, New York, 1971).

Aids for Computers (U.S. Naval Observatory, Washington, D.C., 1980).

W. Gellert, H. Kustner, M. Hellwich, H. Kastner, The VNR Concise Encyclopedia of Mathematics (Van Nostrand Reinhold, New York, 1977).
[CrossRef]

D. Wells, Theory and Problems of Lagrangian Dynamics (McGraw-Hill, New York, 1967).

W. A. Heiskanen, F. A. Vening Meinesz, The Earth and Its Gravitational Field (McGraw-Hill, New York, 1958).

W. T. Chui, in Inversion Methods in Atmospheric Remote Sounding, A. Deepak, Ed. (Academic, New York, 1977).

E. C. Y. Inn, Y. Tanaka, in Ozone Chemistry and Technology, Ed. (American Chemical Society, Washington, D.C., 1959), pp. 263–268.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Occultation geometry relating the vectors determining satellite position rsat to the tangent height rtan and the sun Rsun in geocentric coordinates. The angle between r ̅ sat and the sun satellite direction is E.

Fig. 2
Fig. 2

Instrument counting rate as a function of time for a dusk occultation.

Fig. 3
Fig. 3

Three ozone concentration profiles as a function of altitude for 9 Sept. 1980 near the equator.

Equations (17)

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I λ ( h T ) = I λ 0 ( h 0 ) τ λ ( h T ) ,
τ λ ( h T ) = exp ( 2 σ λ h T h 0 [ O 3 ] d l ) ,
r = r sat + t ê ,
d = r sat × ê ,
t = ( r sat 2 d 2 ) 1 / 2 .
R e ( ϕ ) = R 0 ( 1 a 1 sin 2 ϕ + a 2 sin 2 2 ϕ ) ,
Φ ( h T ) = ( 1 / 2 σ λ ) ln [ 1 / τ λ ( h T ) ] = h T h 0 [ O 3 ] dl ,
τ λ ( h T ) = I λ ( h T ) / I λ ( h 0 )
I i = n N 1 Δ L ( i ) [ O 3 ( i ) ] ,
H ̅ ( i ) = 0.5 [ H ( i + 1 ) + H ( i ) ] .
Δ L ( i ) = { [ R e + H ( i + 1 ) ] 2 [ R e + H ( n ) ] 2 } 1 / 2 { [ R e + H ( i ) ] 2 [ R e + H ( n ) ] 2 } 1 / 2 .
Φ n = Δ L ( n , i ) [ O 3 ( i ) ] .
Δ H tan = ( r sat + Δ r sat ) × ê r sat × ê ,
Δ H tan r ̂ Δ r ( ê ) ( ê Δ r ) sin E ,
Δ H tan = Δ l 2 .
ê 0 = ( R sun r sat ) / ( | R sun r sat | ) ,
β = 73 ° 40 + 50.25 t ,

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