ANALYSIS OF LUNAR ECLIPSE OBSERVATIONS

-  BY BYRON W. SOULSBY, THEODORE LUNAR OBSERVATORY, AUSTRALIA

 

CRATER TIMING REDUCTIONS FOR 19451219

 

OBSERVER SOULSBY BYRON W.

 

NUMBER OF TIMINGS PREDICTED  58

 

 

IMMERSION TIMINGS

FEATURE

TYPE

TIME (UT)

Rc

Ro

Ro - Rc

E %

PSI(+N/-S)

X

 Y

 R

FIRST CONTACT

PRIMARY

 0.3722

 0.7337

 0.7487

 0.0150

 2.0479

23.6536

-0.9254

 0.3790

 1.0000

SECOND CONTACT

PRIMARY

 1.4021

 0.7323

 0.7477

 0.0154

 2.1055

-43.3231

 0.7366

-0.6764

 1.0000

BRIGGS

MID

 0.3836

 0.7333

 0.7481

 0.0148

 2.0232

22.0691

-0.8549

 0.4443

 0.9635

SELEUCUS

MID

 0.3857

 0.7332

 0.7478

 0.0146

 1.9941

23.9679

-0.8796

 0.3596

 0.9503

RICCIOLI

MID

 0.4227

 0.7329

 0.7477

 0.0148

 2.0225

-33.4391

-0.9768

-0.0526

 0.9783

REINER

MID

 0.4233

 0.7327

 0.7471

 0.0143

 1.9548

28.0906

-0.8441

 0.1679

 0.8606

ARISTARCHUS

MID

 0.4258

 0.7329

 0.7470

 0.0142

 1.9346

22.6439

-0.7176

 0.4013

 0.8222

KRIEGER

MID

 0.4330

 0.7329

 0.7470

 0.0141

 1.9262

20.7260

-0.6651

 0.4841

 0.8226

GRIMALDI

MID

 0.4355

 0.7327

 0.7474

 0.0147

 2.0082

-34.2586

-0.9487

-0.0910

 0.9531

MAIRAN

MID

 0.4456

 0.7331

 0.7475

 0.0144

 1.9671

16.6192

-0.5504

 0.6633

 0.8619

KEPLER

MID

 0.4757

 0.7324

 0.7464

 0.0139

 1.9039

28.2191

-0.6620

 0.1400

 0.6766

CRUGER

MID

 0.4859

 0.7325

 0.7472

 0.0148

 2.0175

-38.8157

-0.9037

-0.2877

 0.9484

EULER

MID

 0.4903

 0.7326

 0.7464

 0.0138

 1.8828

22.2115

-0.5009

 0.3946

 0.6377

LAPLACE

MID

 0.5012

 0.7330

 0.7472

 0.0142

 1.9323

14.9244

-0.3467

 0.7186

 0.7979

BILLY

MID

 0.5111

 0.7322

 0.7465

 0.0143

 1.9576

-37.3118

-0.7850

-0.2392

 0.8207

PYTHEAS

MID

 0.5239

 0.7324

 0.7463

 0.0139

 1.8922

22.8864

-0.3888

 0.3492

 0.5226

COPERNICUS

MID

 0.5442

 0.7322

 0.7460

 0.0138

 1.8828

26.8870

-0.3994

 0.1674

 0.4331

TIMOCHARIS

MID

 0.5504

 0.7325

 0.7463

 0.0138

 1.8800

20.4156

-0.2612

 0.4483

 0.5189

PLATO

MID

 0.5529

 0.7330

 0.7473

 0.0143

 1.9536

13.0826

-0.1414

 0.7808

 0.7935

PICO

MID

 0.5534

 0.7329

 0.7470

 0.0141

 1.9239

14.4213

-0.1551

 0.7185

 0.7351

GASSENDI

MID

 0.5548

 0.7320

 0.7463

 0.0143

 1.9575

-38.4427

-0.6589

-0.3015

 0.7246

ERATOSTHENES

MID

 0.5735

 0.7322

 0.7460

 0.0138

 1.8796

24.6883

-0.2535

 0.2493

 0.3555

ARCHIMEDES

MID

 0.5831

 0.7325

 0.7464

 0.0139

 1.8941

19.0498

-0.1190

 0.4944

 0.5085

PITON

MID

 0.5842

 0.7327

 0.7467

 0.0140

 1.9114

15.8480

-0.0653

 0.6392

 0.6425

ARISTILLUS

MID

 1.0010

 0.7326

 0.7465

 0.0139

 1.9025

17.5449

-0.0386

 0.5553

 0.5566

AUTOLYCUS

MID

 1.0039

 0.7325

 0.7465

 0.0139

 1.9027

18.5408

-0.0369

 0.5080

 0.5094

CASSINI

MID

 1.0053

 0.7327

 0.7451

 0.0124

 1.6937

15.5581

 0.0086

 0.6446

 0.6446

BULLIALDUS

MID

 1.0327

 0.7317

 0.7460

 0.0143

 1.9547

-38.9820

-0.4105

-0.3545

 0.5424

ARISTOTELES

MID

 1.0357

 0.7330

 0.7452

 0.0122

 1.6686

12.6321

 0.1494

 0.7664

 0.7808

EUDOXUS

MID

 1.0435

 0.7328

 0.7451

 0.0123

 1.6731

14.0843

 0.1549

 0.6963

 0.7133

LINNE

MID

 1.0535

 0.7325

 0.7452

 0.0127

 1.7355

19.0746

 0.1215

 0.4638

 0.4794

RAMSDEN

MID

 1.0545

 0.7317

 0.7463

 0.0146

 1.9953

-43.9880

-0.4889

-0.5440

 0.7314

SCHICKARD

MID

 1.0649

 0.7318

 0.7467

 0.0149

 2.0318

-48.5461

-0.6086

-0.7001

 0.9276

MANILIUS

MID

 1.0658

 0.7322

 0.7455

 0.0133

 1.8196

23.7997

 0.0878

 0.2475

 0.2626

BURG

MID

 1.0800

 0.7329

 0.7484

 0.0155

 2.1185

13.4827

 0.2922

 0.7063

 0.7644

ALPHONSUS

1 C

 1.0858

 0.7317

 0.7552

 0.0235

 3.2117

-35.1955

-0.1098

-0.2346

 0.2590

MENELAUS

MID

 1.0944

 0.7322

 0.7454

 0.0132

 1.7965

22.8343

 0.2016

 0.2779

 0.3433

PITATUS

MID

 1.1037

 0.7315

 0.7461

 0.0146

 1.9952

-42.0652

-0.2576

-0.4980

 0.5607

JULIUS CAESAR

MID

 1.1106

 0.7321

 0.7457

 0.0136

 1.8516

25.5044

 0.1975

 0.1553

 0.2512

HERCULES

MID

 1.1108

 0.7330

 0.7454

 0.0124

 1.6917

12.7962

 0.3976

 0.7271

 0.8287

POSIDONIUS

MID

 1.1200

 0.7326

 0.7454

 0.0127

 1.7370

17.0767

 0.3744

 0.5260

 0.6457

ATLAS

MID

 1.1232

 0.7331

 0.7455

 0.0124

 1.6948

12.6879

 0.4475

 0.7260

 0.8528

ENDYMION

MID

 1.1244

 0.7333

 0.7458

 0.0125

 1.6997

10.9841

 0.4723

 0.8045

 0.9329

PLINIUS

MID

 1.1321

 0.7323

 0.7454

 0.0132

 1.7987

22.8153

 0.3275

 0.2628

 0.4199

DIONYSIUS

1 C

 1.1330

 0.7320

 0.7472

 0.0152

 2.0715

27.7746

 0.2324

 0.0477

 0.2372

VITRUVIUS

MID

 1.1559

 0.7324

 0.7455

 0.0131

 1.7930

21.6782

 0.4397

 0.3014

 0.5331

LONGOMONTANUS

MID

 1.1659

 0.7315

 0.7463

 0.0149

 2.0335

-49.1367

-0.2782

-0.7622

 0.8114

TYCHO

MID

 1.1707

 0.7314

 0.7463

 0.0149

 2.0326

-46.7170

-0.1876

-0.6854

 0.7106

CENSORINUS

MID

 1.2106

 0.7321

 0.7461

 0.0140

 1.9155

-28.2949

 0.4850

-0.0080

 0.4851

THEOPHILUS

MID

 1.2113

 0.7318

 0.7463

 0.0145

 1.9790

-32.9156

 0.3770

-0.1987

 0.4262

PROCLUS

MID

 1.2213

 0.7325

 0.7458

 0.0133

 1.8108

21.6140

 0.6580

 0.2765

 0.7137

CLAVIUS

MID

 1.2234

 0.7315

 0.7466

 0.0151

 2.0646

-51.2677

-0.1625

-0.8523

 0.8677

TARUNTIUS

MID

 1.2451

 0.7323

 0.7461

 0.0137

 1.8769

25.4487

 0.6768

 0.0967

 0.6837

PICARD

MID

 1.2502

 0.7326

 0.7460

 0.0134

 1.8304

21.9334

 0.7508

 0.2497

 0.7912

MARE CRISIUM

MID

 1.2624

 0.7327

 0.7461

 0.0133

 1.8219

21.6046

 0.8042

 0.2582

 0.8446

MESSIER

MID

 1.2706

 0.7322

 0.7462

 0.0140

 1.9117

-28.2814

 0.6939

-0.0340

 0.6947

GOCLENIUS

MID

 1.2807

 0.7321

 0.7464

 0.0143

 1.9528

-31.5645

 0.6510

-0.1745

 0.6739

LANGRENUS

MID

 1.3237

 0.7323

 0.7466

 0.0142

 1.9443

-30.6025

 0.8315

-0.1553

 0.8459

 

 

 

NUMBER OF OBSERVATIONS  58

MEAN % E FOR TIMINGS 1.9287,

STANDARD DEVIATION 0.2052,

MEAN ERROR  0.027

 

ANALYSIS OF LUNAR ECLIPSE OBSERVATIONS

-  BY BYRON W. SOULSBY, THEODORE LUNAR OBSERVATORY, AUSTRALIA

 

CRATER TIMING REDUCTIONS FOR 19451219

 

OBSERVER GUTH V.

 

NUMBER OF TIMINGS SUBMITTED  18

 

 

IMMERSION TIMINGS

 

FEATURE

TYPE

TIME (UT)

Rc

Ro

Ro - Rc

E %

PSI(+N/-S)

X

 Y

 R

MANILIUS

MID

 1.0618

 0.7322

 0.7516

 0.0194

 2.6461

23.6613

 0.0877

 0.2475

 0.2626

MENELAUS

MID

 1.0936

 0.7322

 0.7466

 0.0144

 1.9626

22.8080

 0.2016

 0.2779

 0.3433

PLATO

MID

 0.5530

 0.7330

 0.7472

 0.0142

 1.9321

13.0839

-0.1414

 0.7808

 0.7935

COPERNICUS

MID

 0.5411

 0.7322

 0.7506

 0.0184

 2.5162

26.7596

-0.3995

 0.1674

 0.4332

DIONYSIUS

MID

 1.1323

 0.7320

 0.7469

 0.0149

 2.0323

27.7438

 0.2324

 0.0477

 0.2372

ARISTARCHUS

MID

 0.4243

 0.7329

 0.7493

 0.0164

 2.2424

22.5959

-0.7177

 0.4013

 0.8222

KEPLER

MID

 0.4717

 0.7324

 0.7523

 0.0199

 2.7134

28.0446

-0.6621

 0.1400

 0.6767

PROCLUS

MID

 1.2201

 0.7325

 0.7476

 0.0151

 2.0573

21.5782

 0.6580

 0.2765

 0.7137

MOSTING A

MID

 1.0459

 0.7319

 0.7428

 0.0110

 1.4998

-31.3340

-0.1565

-0.0570

 0.1666

ARCHIMEDES

MID

 0.5812

 0.7325

 0.7493

 0.0168

 2.2952

19.0023

-0.1190

 0.4944

 0.5086

MARE CRISIUM

MID

 1.2512

 0.7327

 0.7571

 0.0244

 3.3275

21.3885

 0.8041

 0.2582

 0.8445

GRIMALDI

MID

 0.4417

 0.7327

 0.7444

 0.0116

 1.5897

-34.3800

-0.9487

-0.0910

 0.9531

TYCHO

MID

 1.1735

 0.7314

 0.7429

 0.0115

 1.5718

-46.9333

-0.1876

-0.6854

 0.7106

 

 

NUMBER OF OBSERVATIONS  13

MEAN % E FOR TIMINGS 2.1836,

STANDARD DEVIATION 0.5224,

MEAN ERROR  0.145

 

 

EMERSION TIMINGS

 

FEATURE

TYPE

TIME (UT)

Rc

Ro

Ro - Rc

E %

PSI(+N/-S)

X

 Y

 R

COPERNICUS

MID

 3.2223

 0.7319

 0.7429

 0.0110

 1.5080

12.8167

-0.3798

 0.1675

 0.4151

ARISTARCHUS

MID

 3.1413

 0.7324

 0.7444

 0.0120

 1.6387

 8.5606

-0.7048

 0.4013

 0.8110

KEPLER

MID

 3.1442

 0.7321

 0.7468

 0.0147

 2.0051

14.0577

-0.6459

 0.1400

 0.6610

GRIMALDI

MID

 3.0311

 0.7325

 0.7425

 0.0100

 1.3593

-20.3293

-0.9423

-0.0910

 0.9467

TYCHO

MID

 3.1753

 0.7315

 0.7437

 0.0122

 1.6683

-32.7442

-0.1751

-0.6854

 0.7074

 

 

NUMBER OF OBSERVATIONS  5

MEAN % E FOR TIMINGS 1.6359,

STANDARD DEVIATION 0.2399,

MEAN ERROR 0.107,

 

          


              


Legend                          

FEATURE is a primary contact, a lunar crater or other feature timed.

TYPE is the timing type, the four primaries as First Contact, Second Contact, Third contact OR Fourth contact, OR MID as a MID-crater timing, 1 C first contact, 2 C second contact, 3 C Third contact OR 4 C Fourth contact (these last four contact timings refer to the umbral contact with the crater edges).

TIME of the observation in hours.minutes seconds (eg 12.3645) in Universal Time.

Rc is the computed radius of the umbral shadow at contact from the umbral centre in units of the earth's equatorial radius.

Ro is the observed radius of the umbral shadow at contact from the umbral centre in units of the earth's equatorial radius.

Ro - Rc is the difference in the two radii in units of the earth's equatorial radius

E% is the computed enlargement of the umbra ((Ro-Rc)/Rc) X 100%, should be near to 2.0%, if the result is greater than 4% it is rejected by the analysis program.

PSI is the position angle of the timed feature on the umbra, from North through East in decimal degrees.

X is the computed x-coordinate of the contact point of the timed feature from the centre of the Moon in decimal degrees.

Y is the computed y-coordinate of the contact point of the timed feature from the centre of the Moon in decimal degrees.

R is the computed radius of the contact point of the timed feature from the centre of the Moon in units of the Moon's semi-diameter (at primary contacts R = 1).

 

F & FM ARE 298.26, 218.25

 DATE :02-27-2007

 AT TIME 16:41:31