Publications of Peter A. Gilman ordered by citations


A list of publications authored or co-authored by Peter A. Gilman, derived from the SAO/NASA Astrophysics Data System (ADS) and ordered by the numbers of citations.

Orcid ID: 0000-0002-1639-6252

Number of papers: 110
No. of citations: 7724

564 The Global Oscillation Network Group (GONG) Project
Harvey, J. W., Hill, F., Hubbard, R. P., Kennedy, J. R., Leibacher, J. W., Pintar, J. A., Gilman, P. A., Noyes, R. W., Title, A. M., Toomre, J., Ulrich, R. K., Bhatnagar, A., Kennewell, J. A., Marquette, W., Patron, J., Saa, O. & Yasukawa, E., 1996, Science, 272, 1284
311 Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. II - Dynamos with cycles and strong feedbacks
Gilman, P. A., 1983, ApJS, 53, 243
304 Rotation of the sun measured from Mount Wilson white-light images
Howard, R., Gilman, P. I. & Gilman, P. A., 1984, ApJ, 283, 373
301 The Influence of the Coriolis Force on Flux Tubes Rising through the Solar Convection Zone
Choudhuri, Arnab Rai & Gilman, Peter A., 1987, ApJ, 316, 788
283 Three-dimensional Spherical Simulations of Solar Convection. I. Differential Rotation and Pattern Evolution Achieved with Laminar and Turbulent States
Miesch, Mark S., Elliott, Julian R., Toomre, Juri, Clune, Tom L., Glatzmaier, Gary A. & Gilman, Peter A., 2000, ApJ, 532, 593
264 Predicting the strength of solar cycle 24 using a flux-transport dynamo-based tool
Dikpati, Mausumi, de Toma, Giuliana & Gilman, Peter A., 2006, Geophysical Research Letters, 33, L05102
235 Simulating and Predicting Solar Cycles Using a Flux-Transport Dynamo
Dikpati, Mausumi & Gilman, Peter A., 2006, ApJ, 649, 498
234 Flux-Transport Dynamos with α-Effect from Global Instability of Tachocline Differential Rotation: A Solution for Magnetic Parity Selection in the Sun
Dikpati, Mausumi & Gilman, Peter A., 2001, ApJ, 559, 428
221 Nonlinear Dynamics of Boussinesq Convection in a Deep Rotating Spherical Shell. I.
Gilman, P. A., 1977, Geophysical and Astrophysical Fluid Dynamics, 8, 93
213 Compressible convection in a rotating spherical shell. I - Anelastic equations. II - A linear anelastic model. III - Analytic model for compressible vorticity waves
Gilman, P. A. & Glatzmaier, G. A., 1981, ApJS, 45, 335
187 Diagnostics of Polar Field Reversal in Solar Cycle 23 Using a Flux Transport Dynamo Model
Dikpati, Mausumi, de Toma, Giuliana, Gilman, Peter A., Arge, Charles N. & White, Oran R., 2004, ApJ, 601, 1136
178 Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell
Gilman, P. A. & Miller, J., 1981, ApJS, 46, 211
172 Joint Instability of Latitudinal Differential Rotation and Toroidal Magnetic Fields below the Solar Convection Zone
Gilman, Peter A. & Fox, Peter A., 1997, ApJ, 484, 439
158 Magnetohydrodynamic ``Shallow Water'' Equations for the Solar Tachocline
Gilman, Peter A., 2000, ApJ, 544, L79
154 Distribution of Sunspot Umbral Areas: 1917--1982
Bogdan, T. J., Gilman, Peter A., Lerche, I. & Howard, Robert, 1988, ApJ, 327, 451
150 Nonlinear Convection of a Compressible Fluid in a Rotating Spherical Shell
Gilman, P. A. & Miller, J., 1986, ApJS, 61, 585
137 Variations in solar rotation with the sunspot cycle
Gilman, P. A. & Howard, R., 1984, ApJ, 283, 385
120 GONG Observations of Solar Surface Flows
Hathaway, D. H., Gilman, P. A., Harvey, J. W., Hill, F., Howard, R. F., Jones, H. P., Kasher, J. C., Leibacher, J. W., Pintar, J. A. & Simon, G. W., 1996, Science, 272, 1306
117 Instability of Magnetohydrostatic Stellar Interiors from Magnetic Buoyancy. I.
Gilman, Peter A., 1970, ApJ, 162, 1019
104 Compressible convection in a rotating spherical shell. V - Induced differential rotation and meridional circulation
Glatzmaier, G. A. & Gilman, P. A., 1982, ApJ, 256, 316
103 Solar rotation.
Gilman, P. A., 1974, Annual Review of Astronomy and Astrophysics, 12, 47
98 Compressible Convection in a Rotating Spherical Shell - Part Two - a Linear Anelastic Model
Glatzmaier, G. A. & Gilman, P. A., 1981, ApJS, 45, 351
97 Analysis of Hydrodynamic Stability of Solar Tachocline Latitudinal Differential Rotation using a Shallow-Water Model
Dikpati, Mausumi & Gilman, Peter A., 2001, ApJ, 551, 536
95 Angular Momentum Transport and Dynamo Action in the Sun: Implications of Recent Oscillation Measurements
Gilman, Peter A., Morrow, Cherilynn A. & Deluca, Edward E., 1989, ApJ, 338, 528
87 Angular velocity gradients in the solar convection zone.
Gilman, P. A. & Foukal, P. V., 1979, ApJ, 229, 1179
86 Fluid Dynamics and MHD of the Solar Convection Zone and Tachocline: Current Understanding and Unsolved Problems - (Invited Review)
Gilman, Peter A., 2000, Solar Physics, 192, 27
83 Role of Interaction between Magnetic Rossby Waves and Tachocline Differential Rotation in Producing Solar Seasons
Dikpati, Mausumi, McIntosh, Scott W., Bothun, Gregory, Cally, Paul S., Ghosh, Siddhartha S., Gilman, Peter A. & Umurhan, Orkan M., 2018, ApJ, 853, 144
83 Joint Instability of Latitudinal Differential Rotation and Concentrated Toroidal Fields below the Solar Convection Zone
Dikpati, Mausumi & Gilman, Peter A., 1999, ApJ, 512, 417
78 Stability of the Solar Latitudinal Differential Rotation Inferred from Helioseismic Data
Charbonneau, Paul, Dikpati, Mausumi & Gilman, Peter A., 1999, ApJ, 526, 523
77 Nonlinear Boussinesq Convective Model for Large Scale Solar Circulations
Gilman, Peter A., 1972, Solar Physics, 27, 3
76 A Rossby-Wave Dynamo for the Sun, I
Gilman, Peter A., 1969, Solar Physics, 8, 316
76 Meridional Motions of Sunspots and Sunspot Groups
Howard, R. & Gilman, P. A., 1986, ApJ, 307, 389
75 Clamshell and Tipping Instabilities in a Two-dimensional Magnetohydrodynamic Tachocline
Cally, Paul S., Dikpati, Mausumi & Gilman, Peter A., 2003, ApJ, 582, 1190
74 Limits to Penetration of Meridional Circulation below the Solar Convection Zone
Gilman, Peter A. & Miesch, Mark S., 2004, ApJ, 611, 568
66 Solar rotation during the Maunder minimum.
Eddy, J. A., Gilman, P. A. & Trotter, D. E., 1976, Solar Physics, 46, 3
65 Joint Instability of Latitudinal Differential Rotation and Concentrated Toroidal Fields below the Solar Convection Zone. II. Instability of Narrow Bands at All Latitudes
Gilman, Peter A. & Dikpati, Mausumi, 2000, ApJ, 528, 552
62 Flux Transport Solar Dynamos with Near-Surface Radial Shear
Dikpati, Mausumi, Corbard, Thierry, Thompson, Michael J. & Gilman, Peter A., 2002, ApJ, 575, L41
61 Dynamo theory for the interface between the convection zone and the radiative interior of a star: Part I model equations and exact solutions
Deluca, Edward E. & Gilman, Peter A., 1986, Geophysical and Astrophysical Fluid Dynamics, 37, 85
60 Model calculations concerning rotation at high solar latitudes and the depth of the solar convection zone.
Gilman, P. A., 1979, ApJ, 231, 284
59 A Shallow-Water Theory for the Sun's Active Longitudes
Dikpati, Mausumi & Gilman, Peter A., 2005, ApJ, 635, L193
59 Impact of changes in the Sun's conveyor-belt on recent solar cycles
Dikpati, Mausumi, Gilman, Peter A., de Toma, Giuliana & Ulrich, Roger K., 2010, Geophysical Research Letters, 37, L14107
58 A Rossby-Wave Dynamo for the Sun, II
Gilman, Peter A., 1969, Solar Physics, 9, 3
55 The Waldmeier Effect: An Artifact of the Definition of Wolf Sunspot Number?
Dikpati, Mausumi, Gilman, Peter A. & de Toma, Giuliana, 2008, ApJ, 673, L99
53 On the Correlation of Longitudinal and Latitudinal Motions of Sunspots
Gilman, P. A. & Howard, R., 1984, Solar Physics, 93, 171
52 Flux-Transport Solar Dynamos
Dikpati, Mausumi & Gilman, Peter A., 2009, Space Science Reviews, 144, 67
52 ``Shallow-Water'' Magnetohydrodynamic Waves in the Solar Tachocline
Schecter, D. A., Boyd, J. F. & Gilman, P. A., 2001, ApJ, 551, L185
51 Analysis of Instability of Latitudinal Differential Rotation and Toroidal Field in the Solar Tachocline Using a Magnetohydrodynamic Shallow-Water Model. I. Instability for Broad Toroidal Field Profiles
Gilman, Peter A. & Dikpati, Mausumi, 2002, ApJ, 576, 1031
50 Nonlinear Dynamics of Boussinesq Convection in a Deep Rotating Spherical Shell. II. Effects of Temperature Boundary Conditions
Gilman, P. A., 1978, Geophysical and Astrophysical Fluid Dynamics, 11, 157
50 Stability Analysis of Tachocline Latitudinal Differential Rotation and Coexisting Toroidal Band Using a Shallow-Water Model
Dikpati, Mausumi, Gilman, Peter A. & Rempel, Matthias, 2003, ApJ, 596, 680
49 Compressible convection in a rotating spherical shell. IV - Effects of viscosity, conductivity, boundary conditions, and zone depth
Glatzmaier, G. A. & Gilman, P. A., 1981, ApJS, 47, 103
47 Phase Speed of Magnetized Rossby Waves that Cause Solar Seasons
Dikpati, Mausumi, Belucz, Bernadett, Gilman, Peter A. & McIntosh, Scott W., 2018, ApJ, 862, 159
44 Solar Multiscale Convection and Rotation Gradients Studied in Shallow Spherical Shells
De Rosa, Marc L., Gilman, Peter A. & Toomre, Juri, 2002, ApJ, 581, 1356
44 Compressible Convection in a Rotating Spherical Shell - Part Three - Analytic Model for Compressible Vorticity Waves
Glatzmaier, G. A. & Gilman, P. A., 1981, ApJS, 45, 381
42 Magnetic Field-Minimum Intensity Correlation in Sunspots: A Tool for Solar Dynamo Diagnostics
Norton, Aimee A. & Gilman, Peter A., 2004, ApJ, 603, 348
41 Linear Analysis and Nonlinear Evolution of Two-Dimensional Global Magnetohydrodynamic Instabilities in a Diffusive Tachocline
Dikpati, Mausumi, Cally, Paul S. & Gilman, Peter A., 2004, ApJ, 610, 597
39 Rotation rates of leader and follower sunspots
Gilman, P. A. & Howard, R., 1985, ApJ, 295, 233
39 Laboratory Experiments on Planetary and Stellar Convection Performed on Spacelab 3
Hart, J. E., Toomre, J., Deane, A. E., Hurlburt, N. E., Glatzmaier, G. A., Fichtl, G. H., Leslie, F., Fowlis, W. W. & Gilman, P. A., 1986, Science, 234, 61
38 Simulating Solar Cycles in Northern and Southern Hemispheres by Assimilating Magnetic Data into a Calibrated Flux-Transport Dynamo
Dikpati, Mausumi, Gilman, Peter A., de Toma, Giuliana & Ghosh, Siddhartha S., 2007, Solar Physics, 245, 1
38 An improved search for large-scale convection cells in the solar atmosphere
Labonte, B. J., Howard, R. & Gilman, P. A., 1981, ApJ, 250, 796
36 Joint Instability of Latitudinal Differential Rotation and Toroidal Magnetic Fields below the Solar Convection Zone. II. Instability for Toroidal Fields that Have a Node between the Equator and Pole
Gilman, Peter A. & Fox, Peter A., 1999, ApJ, 510, 1018
32 Prolateness of the Solar Tachocline Inferred from Latitudinal Force Balance in a Magnetohydrodynamic Shallow-Water Model
Dikpati, Mausumi & Gilman, Peter A., 2001, ApJ, 552, 348
32 Polar Flux, Cross-equatorial Flux, and Dynamo-generated Tachocline Toroidal Flux as Predictors of Solar Cycles
Dikpati, Mausumi, de Toma, Giuliana & Gilman, Peter A., 2008, ApJ, 675, 920
31 Physics of Magnetohydrodynamic Rossby Waves in the Sun
Dikpati, Mausumi, Gilman, Peter A., Chatterjee, Subhamoy, McIntosh, Scott W. & Zaqarashvili, Teimuraz V., 2020, ApJ, 896, 141
31 Convection in a rotating annulus uniformly heated from below
Davies-Jones, R. P. & Gilman, P. A., 1971, Journal of Fluid Mechanics, 46, 65
30 Anomalous Solar Rotation in the Early 17th Century
Eddy, J. A., Gilman, P. A. & Trotter, D. E., 1977, Science, 198, 824
30 Recovering Solar Toroidal Field Dynamics from Sunspot Location Patterns
Norton, Aimee A. & Gilman, Peter A., 2005, ApJ, 630, 1194
29 Global MHD Instabilities in a Three-dimensional Thin-Shell Model of Solar Tachocline
Gilman, Peter A., Dikpati, Mausumi & Miesch, Mark S., 2007, ApJS, 170, 203
28 Nonlinear dynamics of boussinesq convection in a deep rotating spherical shell III: Effects of velocity boundary conditions
Gilman, Peter A., 1978, Geophysical and Astrophysical Fluid Dynamics, 11, 181
27 Physical Origin of Differences Among Various Measures of Solar Meridional Circulation
Dikpati, Mausumi, Gilman, Peter A. & Ulrich, Roger K., 2010, ApJ, 722, 774
27 Penetration of Dynamo-generated Magnetic Fields into the Sun's Radiative Interior
Dikpati, Mausumi, Gilman, Peter A. & MacGregor, Keith B., 2006, ApJ, 638, 564
27 Joint Instability of Latitudinal Differential Rotation and Toroidal Magnetic Fields below the Solar Convection Zone. III. Unstable Disturbance Phenomenology and the Solar Cycle
Gilman, P. A. & Fox, P. A., 1999, ApJ, 522, 1167
25 Convective Instability when the Temperature Gradient and Rotation Vector are Oblique to Gravity. I. Fluids without Diffusion
Hathaway, D. H., Toomre, J. & Gilman, P. A., 1979, Geophysical and Astrophysical Fluid Dynamics, 13, 289
23 Convective instability when the temperature gradient and rotation vector are oblique to gravity. II. Real fluids with effects of diffusion
Hathaway, D. H., Toomre, J. & Gilman, P. A., 1980, Geophysical and Astrophysical Fluid Dynamics, 15, 7
22 Concentration of Toroidal Magnetic Field in the Solar Tachocline by η-Quenching
Gilman, Peter A. & Rempel, Matthias, 2005, ApJ, 630, 615
22 Axisymmetric MHD Instabilities in Solar/Stellar Tachoclines
Dikpati, Mausumi, Gilman, Peter A., Cally, Paul S. & Miesch, Mark S., 2009, ApJ, 692, 1421
22 Dynamo theory for the interface between the convection zone and the radiative interior of a star part
Deluca, Edward E. & Gilman, Peter A., 1988, Geophysical and Astrophysical Fluid Dynamics, 43, 119
21 Constraints on the Applicability of an Interface Dynamo to the Sun
Dikpati, Mausumi, Gilman, Peter A. & MacGregor, Keith B., 2005, ApJ, 631, 647
21 Rotation and Expansion within Sunspot Groups
Gilman, P. A. & Howard, R., 1986, ApJ, 303, 480
19 Baroclinic Instability in the Solar Tachocline
Gilman, Peter & Dikpati, Mausumi, 2014, ApJ, 787, 60
18 The tachocline and the solar dynamo
Gilman, P. A., 2005, Astronomische Nachrichten, 326, 208
18 Global solar dynamo models: simulations and predictions of cyclic photospheric fields and long-term non-reversing interior fields
Dikpati, M. & Gilman, P. A., 2007, New Journal of Physics, 9, 297
18 Global solar dynamo models: Simulations and predictions
Dikpati, Mausumi & Gilman, Peter A., 2008, Journal of Astrophysics and Astronomy, 29, 29
18 Convection in a rotating annulus uniformly heated from below. Part 2. Nonlinear results
Gilman, Peter A., 1973, Journal of Fluid Mechanics, 57, 381
17 Instabilities of the Ekman-Hartmann Boundary Layer
Gilman, Peter A., 1971, Physics of Fluids, 14, 7
17 Deciphering the Deep Origin of Active Regions via Analysis of Magnetograms
Dikpati, Mausumi, McIntosh, Scott W., Chatterjee, Subhamoy, Norton, Aimee A., Ambroz, Pavel, Gilman, Peter A., Jain, Kiran & Munoz-Jaramillo, Andres, 2021, ApJ, 910, 91
14 Inertial oscillations in the solar convection zone. I - Spherical shell model
Guenther, D. B. & Gilman, P. A., 1985, ApJ, 295, 195
14 On Large-Scale Solar Convection
Davies-Jones, Robert P. & Gilman, Peter A., 1970, Solar Physics, 12, 3
14 Steps for Building a Calibrated Flux-Transport Dynamo for the Sun
Dikpati, M. & Gilman, P. A., 2007, Solar Physics, 241, 1
14 Effect of Toroidal Fields On Baroclinic Instability in the Solar Tachocline
Gilman, Peter A., 2015, ApJ, 801, 22
13 Simulating Solar Near-surface Rossby Waves by Inverse Cascade from Supergranule Energy
Dikpati, Mausumi, Gilman, Peter A., Guerrero, Gustavo A., Kosovichev, Alexander G., McIntosh, Scott W., Sreenivasan, Katepalli. R., Warnecke, Jörn & Zaqarashvili, Teimuraz V., 2022, ApJ, 931, 117
13 Inertial Oscillations in the Solar Convection Zone. III. A Cylidrical Model for Nonaxisymmetric Oscillations in a Superadiabatic Gradient
Gilman, Peter A., 1987, ApJ, 318, 904
12 Three-dimensional magneto-shear instabilities in the solar tachocline - II. Axisymmetric case
Cally, Paul S., Dikpati, Mausumi & Gilman, Peter A., 2008, MNRAS, 391, 891
12 Length of a minimum as predictor of next solar cycle's strength
Dikpati, Mausumi, Gilman, Peter A. & Kane, Rajaram P., 2010, Geophysical Research Letters, 37, L06104
12 The solar benchmark: rotational modulation of the Sun reconstructed from archival sunspot records
Morris, Brett M., Davenport, James R. A., Giles, Helen A. C., Hebb, Leslie, Hawley, Suzanne L., Angus, Ruth, Gilman, Peter A. & Agol, Eric, 2019, MNRAS, 484, 3244
12 Theory of Solar Meridional Circulation at High Latitudes
Dikpati, Mausumi & Gilman, Peter A., 2012, ApJ, 746, 65
12 Sunspot motion statistics for 1965 67
Coffey, Helen E. & Gilman, Peter A., 1969, Solar Physics, 9, 423
11 Baroclinic Instability in the Solar Tachocline for Continuous Vertical Profiles of Rotation, Effective Gravity, and Toroidal Field
Gilman, Peter A., 2017, ApJ, 842, 130
11 Techniques for detecting giant cells using spatially resolved solar velocity data
Brown, T. M. & Gilman, P. A., 1984, ApJ, 286, 804
10 Magnetic Buoyancy and Rotational Instabilities in the Tachocline
Gilman, Peter A., 2018, ApJ, 853, 65
10 Magnetic Buoyancy and Magnetorotational Instabilities in Stellar Tachoclines for Solar- and Antisolar-type Differential Rotation
Gilman, Peter A., 2018, ApJ, 867, 45
7 Resonance in Forced Flux-transport Dynamos
Gilman, Peter A. & Dikpati, Mausumi, 2011, ApJ, 738, 108
6 Mother's Day Superstorms: Pre- and Post-storm Evolutionary Patterns of ARs 13664/8
Dikpati, Mausumi, Korsós, Marianna B., Norton, Aimee A., Raphaldini, Breno, Jain, Kiran, McIntosh, Scott W., Gilman, Peter A., Teruya, Andre S. W. & Raouafi, Nour E., 2025, ApJ, 988, 108
4 Effects of certain analysis procedures on solar global velocity signals
Gilman, P. A. & Glatzmaier, G. A., 1980, ApJ, 241, 793
4 Inertial oscillations in the solar convection zone. II - A cylindrical model for equatorial regions
Gilman, P. A. & Guenther, D. B., 1985, ApJ, 296, 685
3 Dynamical Splitting of Spot-producing Magnetic Rings in a Nonlinear Shallow-water Model
Dikpati, Mausumi, Norton, Aimee A., McIntosh, Scott W. & Gilman, Peter A., 2021, ApJ, 922, 46
3 Baroclinic Instability in the Solar Tachocline. II. The Eady Problem
Gilman, Peter A., 2016, ApJ, 818, 170
1 A Method for Constructing Streamlines for the Sun's Large Scale Flow from Doppler Velocities
Gilman, Peter A., 1971, Solar Physics, 19, 40
1 Magnetohydrodynamic Instabilities of Double Magnetic Bands in a Shallow-water Tachocline Model. II. Teleconnection Between High- and Low-latitude Bands and Across Equator
Dikpati, Mausumi, Belucz, Bernadett, Erdélyi, Robertus, Gilman, Peter A., McIntosh, Scott W. & Raphaldini, Breno, 2024, ApJ, 977, 99
1 Evolution of amplitude and longitude phase of tachocline Rossby waves diffusing to the photosphere
Dikpati, Mausumi, Gilman, Peter A., Raphaldini, Breno & McIntosh, Scott W., 2024, MNRAS, 535, 1856
0 A Multilayer Magnetohydrodynamic Shallow-water Model of The Solar Tachocline: Equilibrium Shape and Thickness
Dikpati, Mausumi & Gilman, Peter A., 2026, ApJ, 998, 134


Created on Wed Apr 8 04:34:30 2026.