{"id":"vidhyamitra:city-day:mathura:1961-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1961-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1961-01-29","date_display":"January 29, 1961 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1961,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2437328.770833,"kali_year":5062,"ahargana":1848863.2708,"sun":{"sidereal_longitude":285.6853,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":74.6206,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.9353,"elapsed_within_tithi_degrees":4.9353},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.6206,"elapsed_within_degrees":7.9539},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":0.3059},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1961,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2437328.770833,"ahargana":1848863.2708,"kali_year":5062,"ayanamsa_lahiri":23.3093,"grahas":{"sun":{"sidereal_longitude":285.594875,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":75.934575,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-4.0336},"mars":{"sidereal_longitude":67.684775,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":301.330775,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":268.02537499999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":333.081775,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":270.15267500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":138.3266,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":318.3266,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1961,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2437328.770833,"kali_year":5062,"ahargana":1848863.2708,"sun":{"sidereal_longitude":285.6853,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":74.6206,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.9353,"elapsed_within_tithi_degrees":4.9353},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.6206,"elapsed_within_degrees":7.9539},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":0.3059},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.034,"elongation":148.935},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.034,"opposition_distance":31.065}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:07","sunsetLocal":"17:57","solarNoonLocal":"12:32","dayLengthHours":10.833100602110884,"dayLengthDisplay":"10 Hours 49 Mins 59 Secs","nightLengthDisplay":"13 Hours 10 Mins 01 Secs","moonriseLocal":"15:40","moonsetLocal":"05:28","rahuKala":{"name":"Rāhu Kāla","start":"16:36","end":"17:57","startHours":16.603701425336816,"endHours":17.95783900060068,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:32","end":"13:54","startHours":12.541288699545238,"endHours":13.895426274809097,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:15","end":"16:36","startHours":15.249563850072958,"endHours":16.603701425336816,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.652461872315667,"endHours":10.013565225719365,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.576117590244415,"endHours":7.865000272967372,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.180185346141542,"endHours":12.902392052948933,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.680324984875011,"endHours":6.402531691682403,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.221980014980554,"endHours":7.124738398489795,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.346805466563717,"endHours":15.06901217337111,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.75783900060068,"endHours":18.157839000600678,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:25","startHours":17.95783900060068,"endHours":18.409218192355297,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.70783900060068,"endHours":19.45783900060068,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.180185346141542,"endHours":24.902392052948933,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:07","end":"08:29","startHours":7.124738398489795,"endHours":8.478875973753656,"quality":"inauspicious"},{"name":"Chala","start":"08:29","end":"09:50","startHours":8.478875973753656,"endHours":9.833013549017515,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:11","startHours":9.833013549017515,"endHours":11.187151124281376,"quality":"auspicious"},{"name":"Amṛta","start":"11:11","end":"12:32","startHours":11.187151124281376,"endHours":12.541288699545238,"quality":"auspicious"},{"name":"Kāla","start":"12:32","end":"13:54","startHours":12.541288699545238,"endHours":13.895426274809097,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:15","startHours":13.895426274809097,"endHours":15.249563850072958,"quality":"auspicious"},{"name":"Roga","start":"15:15","end":"16:36","startHours":15.249563850072958,"endHours":16.603701425336816,"quality":"inauspicious"},{"name":"Udveg","start":"16:36","end":"17:57","startHours":16.603701425336816,"endHours":17.95783900060068,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:57","end":"19:36","startHours":17.95783900060068,"endHours":19.60370142533682,"quality":"auspicious"},{"name":"Roga","start":"19:36","end":"21:15","startHours":19.60370142533682,"endHours":21.249563850072956,"quality":"inauspicious"},{"name":"Udveg","start":"21:15","end":"22:54","startHours":21.249563850072956,"endHours":22.895426274809097,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:32","startHours":22.895426274809097,"endHours":24.541288699545238,"quality":"neutral"},{"name":"Labha","start":"00:32","end":"02:11","startHours":24.541288699545238,"endHours":26.187151124281378,"quality":"auspicious"},{"name":"Amṛta","start":"02:11","end":"03:50","startHours":26.187151124281378,"endHours":27.833013549017515,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:29","startHours":27.833013549017515,"endHours":29.478875973753656,"quality":"inauspicious"},{"name":"Śubha","start":"05:29","end":"07:07","startHours":29.478875973753656,"endHours":31.124738398489797,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.124738398489795,"endHours":8.124738398489795,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.124738398489795,"endHours":9.124738398489795,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.124738398489795,"endHours":10.124738398489795,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.124738398489795,"endHours":11.124738398489795,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.124738398489795,"endHours":12.124738398489795,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.124738398489795,"endHours":13.124738398489795,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.124738398489795,"endHours":14.124738398489795,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.124738398489795,"endHours":15.124738398489795,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.124738398489795,"endHours":16.124738398489797,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.124738398489797,"endHours":17.124738398489797,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.124738398489797,"endHours":18.124738398489797,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.124738398489797,"endHours":19.124738398489797,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.124738398489797,"endHours":20.124738398489797,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.124738398489797,"endHours":21.124738398489797,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.124738398489797,"endHours":22.124738398489797,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.124738398489797,"endHours":23.124738398489797,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.124738398489797,"endHours":24.124738398489797,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.124738398489797,"endHours":25.124738398489797,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.124738398489797,"endHours":26.124738398489797,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.124738398489797,"endHours":27.124738398489797,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.124738398489797,"endHours":28.124738398489797,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.124738398489797,"endHours":29.124738398489797,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.124738398489797,"endHours":30.124738398489797,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.124738398489797,"endHours":31.124738398489797,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-18.029966168682765,"eotMinutes":-13.172121972714217,"ayanamsa":23.3093}},"calendars":{"vikram_samvat":2018,"vikram_samvatsara":"Ānanda","saka_samvat":1883,"saka_samvatsara":"Plava","bengali_samvat":1368,"malayalam_era":1137,"nanakshahi_year":492,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram 2018 Ānanda · Śaka 1883 Plava"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 29, 1961 CE · Mathurā · Vidhyamitra","description":"January 29, 1961 CE for Mathurā: Śukla Trayodaśī, sūryodaya 07:07, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1961-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1961-01-29","sa":"https://sa.vidhyamitra.com/city/mathura/1961-01-29","hi":"https://hi.vidhyamitra.com/city/mathura/1961-01-29","x-default":"https://vidhyamitra.com/city/mathura/1961-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:55:17.233Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T14:55:17.233Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:55:17.233Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}