Validation of Vincenty's Formulas for the Geodesic Using a New Fourth-Order Extension of Kivioja's Formula
Vincenty’s (1975) formulas for the direct and inverse geodetic problems (i.e., in relation to the geodesic) have been verified by comparing them with a new formula developed by adapting a fourth-order Runge-Kutta scheme for the numerical solution of ordinary differential equations, advancing the wor...
| Main Authors: | , |
|---|---|
| Format: | Journal Article |
| Published: |
American Society of Civil Engineers
2005
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/36501 |
Similar Items
Validation of the AUSGeoid98 model in Western Australia using historic astrogeodetically observed deviations of the vertical
by: Featherstone, Will, et al.
Published: (2007)
by: Featherstone, Will, et al.
Published: (2007)
Thomsen's parameters from p-wave measurements in a spherical sample
by: Bona, Andrej, et al.
Published: (2010)
by: Bona, Andrej, et al.
Published: (2010)
Short Note: Traverse Computation on the Ellipsoid Instead of on the Map Plane
by: Featherstone, Will, et al.
Published: (2002)
by: Featherstone, Will, et al.
Published: (2002)
The apparent British sea slope is caused by systematic errors in the levelling-based vertical datum
by: Penna, N., et al.
Published: (2013)
by: Penna, N., et al.
Published: (2013)
Correction to Angus-Leppan, P.V. (1979) Refraction in levelling - its variation with ground slope and meteorological conditions
by: Filmer, Michael, et al.
Published: (2009)
by: Filmer, Michael, et al.
Published: (2009)
How Well Can Online GPS PPP Post-processing Services be Used to Establish Geodetic Survey Control Networks?
by: Ebner, R., et al.
Published: (2008)
by: Ebner, R., et al.
Published: (2008)
Unification of New Zealand's local vertical datums: iterative gravimetric quasigeoid computations
by: Featherstone, Will, et al.
Published: (2009)
by: Featherstone, Will, et al.
Published: (2009)
On the geodetic datums in Sri Lanka
by: Abeyratne, P., et al.
Published: (2010)
by: Abeyratne, P., et al.
Published: (2010)
Assessment of EGM2008 over Britain using vertical deflections, and the problems with historical data
by: Featherstone, Will, et al.
Published: (2013)
by: Featherstone, Will, et al.
Published: (2013)
Parallel implementation of fourth order block backward differentiation formulas for solving system of stiff ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2012)
by: Ibrahim, Zarina Bibi, et al.
Published: (2012)
Closed-Form transformation between geodetic and ellipsoidal coordinates
by: Featherstone, Will, et al.
Published: (2008)
by: Featherstone, Will, et al.
Published: (2008)
A Method to Validate Gravimetric Geoid Computation Software Based on Stokes's Integral Formula
by: Featherstone, Will, et al.
Published: (1997)
by: Featherstone, Will, et al.
Published: (1997)
Mathematical Formulae
by: Norazaliza, Mohd Jamil, et al.
Published: (2017)
by: Norazaliza, Mohd Jamil, et al.
Published: (2017)
The north-south tilt in the Australian Height Datum is explained by the ocean’s mean dynamic topography
by: Featherstone, Will, et al.
Published: (2012)
by: Featherstone, Will, et al.
Published: (2012)
Identification of soil-structure interaction effects based on geodetic monitoring of a railway bridge
by: Psimoulis, Panos, et al.
Published: (2014)
by: Psimoulis, Panos, et al.
Published: (2014)
Anomalous atmospheric refraction and comments on "fast and accurate determination of astronomical coordinates …" (Balodimos et al. 2003, Survey Review 37,290:269-275)
by: Hirt, Christian
Published: (2012)
by: Hirt, Christian
Published: (2012)
Adaptive order of block backward differentiation formulas for stiff ODEs
by: Ibrahim, Zarina Bibi, et al.
Published: (2017)
by: Ibrahim, Zarina Bibi, et al.
Published: (2017)
From Item Analysis to Assessment Analysis: Introducing New Formulae
by: Puthiaparampil, Thomas, et al.
Published: (2017)
by: Puthiaparampil, Thomas, et al.
Published: (2017)
The processing of formulaic language
by: Conklin, Kathy, et al.
Published: (2012)
by: Conklin, Kathy, et al.
Published: (2012)
Cauchy integral formula
by: Azram, Mohammad, et al.
Published: (2013)
by: Azram, Mohammad, et al.
Published: (2013)
Cauchy integral formula
by: Azram, Mohammad, et al.
Published: (2013)
by: Azram, Mohammad, et al.
Published: (2013)
Formula kemenangan BN
by: Mohd Amin, Khairil Anwar
Published: (2019)
by: Mohd Amin, Khairil Anwar
Published: (2019)
Stability of Adams-type formulae for second-order ordinary differential equations
by: Hall, G., et al.
Published: (1981)
by: Hall, G., et al.
Published: (1981)
New formula to calculate the number of designs in RADG cryptosystem
by: Kadhum, Laith M., et al.
Published: (2021)
by: Kadhum, Laith M., et al.
Published: (2021)
New dispersive [Formula Presented] force and s-shell hypernuclei
by: Shoeb, Mohammad, et al.
Published: (1999)
by: Shoeb, Mohammad, et al.
Published: (1999)
Development and Validation of an Instrument for Assessing Distance Education Learning Environments in Higher Education: The Distance Education Learning Environments Survey (DELES)
by: Walker, Scott L.
Published: (2003)
by: Walker, Scott L.
Published: (2003)
The Acquisition and Processing of Formulaic Language: A Focus on Binomials and Collocations and the Effects of Congruency, Frequency and Learning Conditions
by: Altamimi, Abdulaziz
Published: (2021)
by: Altamimi, Abdulaziz
Published: (2021)
Mathematical Formulae 2.0
by: Norazaliza, Mohd Jamil, et al.
Published: (2017)
by: Norazaliza, Mohd Jamil, et al.
Published: (2017)
Formula hebat teh herba
by: Harian Metro,
Published: (2012)
by: Harian Metro,
Published: (2012)
Formula mujarab bangunkan negara
by: Shakil Hameed, Noor Mohamad
Published: (2019)
by: Shakil Hameed, Noor Mohamad
Published: (2019)
A set of analytical formulae to model deglaciation-induced polar wander
by: Keller, Wolfgang, et al.
Published: (2012)
by: Keller, Wolfgang, et al.
Published: (2012)
Convergence properties of pth order diagonally implicit block backward differentiation formulas
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2018)
by: Mohd Zawawi, Iskandar Shah, et al.
Published: (2018)
Effective quadrature formula in solving linear integro-differential equations of order two
by: Eshkuvatov, Zainidin K., et al.
Published: (2016)
by: Eshkuvatov, Zainidin K., et al.
Published: (2016)
On the convergence of two point block backward differentiation formula for second order ODEs
by: Zainuddin, Nooraini, et al.
Published: (2016)
by: Zainuddin, Nooraini, et al.
Published: (2016)
Block backward differentiation formulas for solving second order fuzzy differential equations
by: Tiaw, Kah Fook, et al.
Published: (2017)
by: Tiaw, Kah Fook, et al.
Published: (2017)
Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
On the integration of stiff ODEs using block backward differentiation formulas of order six
by: Mohd Nasarudin, Amiratul Ashikin, et al.
Published: (2020)
by: Mohd Nasarudin, Amiratul Ashikin, et al.
Published: (2020)
Validation of some bridge pier scour formulae using field and laboratory data
by: Mohammed, Thamer Ahmed, et al.
Published: (2005)
by: Mohammed, Thamer Ahmed, et al.
Published: (2005)
New developed formula to calculate the permittivity of ferrite-polymer composite
by: Al-Habashi, Ramadan, et al.
Published: (2013)
by: Al-Habashi, Ramadan, et al.
Published: (2013)
Comparative Review of Molodensky-Badekas and Burša-Wolf Methods for Coordinate Transformation
by: Abbey, Donald, et al.
Published: (2020)
by: Abbey, Donald, et al.
Published: (2020)