University of Manchester | 3rd Year Laboratory
All the final results obtained in the experiment are summarized below.
The two tables below are the results obtained from the analysis detailed in the Section 2: Dispersion Measure
| Pulsar Names | Dispersion Measure | ||
|---|---|---|---|
| Fitting the curve | Fitting the spectrum | Monte Carlo | |
| B0329+54 | 25.6757 ± 3.2703 | 29.473 ± 2.489 | 26.0490 ± 0.3591 |
| B0531+21(i) | 55.5045 ± 1.1892 | 55.834 ± 0.410 | 55.6937 ± 0.0946 |
| B0531+21(ii) | 55.8018 ± 1.1892 | 55.656 ± 0.238 | 55.8819 ± 0.0805 |
| B0531+21(iii) | 56.0000 ± 1.3874 | 55.725 ± 0.385 | 55.9550 ± 0.0762 |
| B1642-03 | 33.3063 ± 6.1441 | 32.434 ± 1.379 | 32.0871 ± 0.4578 |
| B1929+10 |
RFI | 1.6116 ± 0.8074 | |
| B1933+16 | 150.9510 ± 7.4074 | 158.009 ± 7.981 | 151.1997 ± 1.5803 |
| B2016+28 |
RFI | 1.4712 ± 3.4911 | |
| B2020+28 | 22.7027 ± 2.1802 | 20.061 ± 3.532 | 23.3594 ± 0.4248 |
| B2111+46 | 98.6486 ± 3.4034 | too noisy | 98.3332 ± 21.4281 |
| Pulsar Names | Distance (kpc) | |
|---|---|---|
| Cordes-Lazio NE2001 (electron density model 1) |
YMW16 (electron density model 2) |
|
| B0329+54 | 1.088 ± 0.147 | 1.162 ± 0.116 |
| B0531+21(i) | 1.709 ± 0.298 | 1.282 ± 0.128 |
| B0531+21(ii) | 1.714 ± 0.299 |
1.286 ± 0.127 |
| B0531+21(iii) | 1.715 ± 0.298 | 1.287 ± 0.129 |
| B1642-03 | 1.057 ± 0.198 | 0.973 ± 0. 098 |
| B1933+16 | 5.484 ± 0.803 | 4.231 ± 0.423 |
| B2020+28 | 2.004 ± 0.389 | 1.617 ± 0.162 |
| B2111+46 | 3.890 ± 0.458 | 3.646 ± 0.365 |
The final results as quoted in Section 3: Fourier transforms are shown below.
| Pulsar Data | Period (seconds) |
Width (ms) |
Pulsars |
|---|---|---|---|
| Pulsar 1 | 0.2265 ± 0.0002 | ~ 11 | B1929+10 |
| Pulsar 2 | 0.189 ± 0.003 | ~ 2 | B1821-19 |
| Pulsar 3 | 0.476 ± 0.001 | ~ 11 | B0626+24 |
| Pulsar 4 | 0.7397 ± 0.003 | ~ 19 | B1508+55 |
| Pulsar 5 | 0.2990 ± 0.001 | ~ 6 | B1702-19 |
| Pulsar 6 | 0.7146 ± 0.001 | ~ 12 | B0329+54 |
| Pulsar name | Period (seconds) | |
|---|---|---|
| Method 1 | Method 2 | |
| B0329+54 | 0.03375705(4) | 0.0337570584(1) |
| B1642-03 | 0.38771567(1) | 0.38771569(3) |
| B1933+16 | 0.35879058(3) | 0.358790498(7) |
| B2020+28 | 0.343445657(5) | |
| Crab (Week 1) | 0.033755409(4) | 0.03375540740(1) |
| Crab (Week 2) | 0.033755697(3) | 0.03375569661(1) |
| Crab (Week 3) | 0.033755950(3) | 0.03375595035(7) |
| Pulsar name | Period derivative | |
|---|---|---|
| Method 1 | Method 2 | |
| Crab (Week 1) | 4.21e-13 | 4.01e-13 |
| Crab (Week 2) | 4.17(3)e-13 | 4.02e-13 |
| Crab (Week 3) | 4.2e-13 | 4.03e-13 |
The approximate characteristic age of the Crab pulsar is $Age \approx 1273.85$ years.
The approximate surface magnetic field of the Crab pulsar is $B \approx 1.2 \times 10^8$ T.
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