| World Height System Definition and Implementation. |
DEC 1993 |
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| Authors:
Richard H. Rapp; Nagarajan Balasubramania; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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 | Height systems of the world are inconsistent at the + or - 1 m level of accuracy. This report discusses two procedures that attempt to determine an ideal equipotential surface for heights and the connection of regional vertical datums. One method uses 18 stations whose precise geocentric coordinates are known along with the orthometric or mean sea level height with respect to a regional vertical datum. This information is combined ... |
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| Two Fortran IV Computer Programs for the Combination of Gravimetric and Satellite Data. |
NOV 1968 |
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| Authors:
John M. Snowden; Richard H. Rapp; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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| This report describes two computer programs that may be used for the combination of satellite and gravimetric data. The programs are written in Fortran IV, and have been implemented on the IBM 7094. The programs allow the determination of an adjusted set of potential coefficients and an adjusted 5 degrees x 5 degrees anomaly field. (Author) |
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| A FORTRAN PROGRAM FOR THE COMPUTATION OF THE DISTURBANCE COMPONENTS OF GRAVITY, |
AUG 1966 |
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| Authors:
Richard H. Rapp; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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| A computer program has been formulated for the computation of the three disturbing components of gravity. Though several methods were examined for this computation, the direct integration method was chosen since it does not require the knowledge of geoid undulation, as does the coating method. The gravity data may be given in five block sizes, 5 degree x 5 degree, 1 degree x 1 degree, and 30' x 30', 5' ... |
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| A FORTRAN PROGRAM FOR THE COMPUTATION OF LOCALIZED GRAVITY ANOMALY STATISTICS, |
JUN 1966 |
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| Authors:
Richard H. Rapp; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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| There is a need in the prediction of point and mean gravity anomalies for the covariances of the anomalies which are being predicted. This report describes two computer programs which may be used for the establishment of these convariances. The first program uses 5' x 5' mean anomalies to establish convariances in east-west and north-south profiles. The second program is used to combine this data into one convariance polynomial that ... |
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| THE EQUATORIAL RADIUS AND THE ZERO-ORDER UNDULATION OF THE GEOID. |
MAY 1966 |
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| Authors:
Richard H. Rapp; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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| The equatorial radius (a) of the earth and the potential (W sub o) of the geoid may be determined from four, essentially independent, parameters: equatorial gravity, gamma sub e, from terrestrial gravity measurements;KM determined from lunar probes; the flattening,f, from close-orbit satellite analysis; and the rotational velocity of the earth. With these parameters defining a mean earth ellipsoid it is possible to find the zero-order undulation (N sub o) that ... |
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| A FORTRAN PROGRAM FOR THE UPWARD CONTINUATION OF GRAVITY ANOMALIES, |
FEB 1966 |
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| Authors:
Richard H. Rapp; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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| The equations of Moritz have been utilized in a computer program for the upward continuation of gravity anomalies. The solution for the anomaly at some elevation H is obtained through the evaluation of the Poisson integral using the known anomalies in the surrounding areas on the ground. The input to the program consists of blocks of 5 min. latitude x 5 min. longitude mean free-air anomalies, as well as 2.5 ... |
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| A FORTRAN PROGRAM FOR THE PREDICTION OF MEAN ANOMALIES. |
JAN 1966 |
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| Authors:
Richard H. Rapp; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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| Equations are described that may be used for the prediction of mean gravity anomalies in various size squares. A computer program is given and described that will predict a mean free-air anomaly from a localized Bouguer coefficient, and from a predicted Bouguer anomaly. In addition the predicted accuracy for the mean anomaly is given, along with predictions made at the square center. The input to the program consists of a ... |
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| A FORTRAN PROGRAM FOR THE COMPUTATION OF THE NORMAL GRAVITY AND GRAVITATIONAL FIELD OF THE EARTH. |
JAN 1966 |
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| Authors:
Richard H. Rapp; OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING
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| The equations and theory of the computation of the normal gravity and gravitational field of a rotating ellipsoid are discussed. Particular reference is made to the works of Hirvonen. Two computer programs are given: (1) evaluation of certain special constants from given ellipsoid data; and (2) evaluation of the various components of the gravity field at any elevation given either the geodetic or geocentric coordinates of some point. (Author) |
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