{"id":"vidhyamitra:city-day:mathura:1963-01-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1963-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1963-01-30","date_display":"January 30, 1963 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":1963,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438059.770833,"kali_year":5064,"ahargana":1849594.2708,"sun":{"sidereal_longitude":286.1787,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":343.4974,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.3187,"elapsed_within_tithi_degrees":9.3187},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":343.4974,"elapsed_within_degrees":10.1641},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.6761},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1963,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438059.770833,"ahargana":1849594.2708,"kali_year":5064,"ayanamsa_lahiri":23.3372,"grahas":{"sun":{"sidereal_longitude":286.08944499999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":345.231045,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.0404},"mars":{"sidereal_longitude":114.28164500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":268.054845,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":322.21804499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":239.81994499999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":290.61294499999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":99.5947,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":279.5947,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":1963,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438059.770833,"kali_year":5064,"ahargana":1849594.2708,"sun":{"sidereal_longitude":286.1787,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":343.4974,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.3187,"elapsed_within_tithi_degrees":9.3187},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":343.4974,"elapsed_within_degrees":10.1641},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.6761},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.04,"elongation":57.319},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.04,"opposition_distance":122.681}},"eclipse_window_40days":[{"offset_days":-20,"type":"lunar","occurs":true,"moon_latitude":-0.956,"opposition_distance":2.706}]},"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":"17:58","solarNoonLocal":"12:33","dayLengthHours":10.843698906581176,"dayLengthDisplay":"10 Hours 50 Mins 37 Secs","nightLengthDisplay":"13 Hours 09 Mins 23 Secs","moonriseLocal":"10:20","moonsetLocal":"22:39","rahuKala":{"name":"Rāhu Kāla","start":"12:33","end":"13:54","startHours":12.54437243292941,"endHours":13.899834796252057,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:50","startHours":8.47798534296147,"endHours":9.833447706284115,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:11","end":"12:33","startHours":11.188910069606763,"endHours":12.54437243292941,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65271939117443,"endHours":10.014176021393801,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.574343767413037,"endHours":7.863509071588535,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.182915802710037,"endHours":12.905829063148781,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.676696458761332,"endHours":6.399609719200076,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.21888140409039,"endHours":7.122522979638822,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.351655584026272,"endHours":15.074568844465016,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.76622188622,"endHours":18.166221886219997,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:25","startHours":17.966221886219998,"endHours":18.418042673994215,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.716221886219998,"endHours":19.466221886219998,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.182915802710035,"endHours":24.90582906314878,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:07","end":"08:29","startHours":7.122522979638822,"endHours":8.47798534296147,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:50","startHours":8.47798534296147,"endHours":9.833447706284115,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:11","startHours":9.833447706284115,"endHours":11.188910069606763,"quality":"inauspicious"},{"name":"Śubha","start":"11:11","end":"12:33","startHours":11.188910069606763,"endHours":12.54437243292941,"quality":"auspicious"},{"name":"Roga","start":"12:33","end":"13:54","startHours":12.54437243292941,"endHours":13.899834796252057,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:15","startHours":13.899834796252057,"endHours":15.255297159574704,"quality":"inauspicious"},{"name":"Chala","start":"15:15","end":"16:37","startHours":15.255297159574704,"endHours":16.61075952289735,"quality":"neutral"},{"name":"Labha","start":"16:37","end":"17:58","startHours":16.61075952289735,"endHours":17.966221886219998,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:58","end":"19:37","startHours":17.966221886219998,"endHours":19.61075952289735,"quality":"inauspicious"},{"name":"Chala","start":"19:37","end":"21:15","startHours":19.61075952289735,"endHours":21.255297159574702,"quality":"neutral"},{"name":"Labha","start":"21:15","end":"22:54","startHours":21.255297159574702,"endHours":22.89983479625206,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:33","startHours":22.89983479625206,"endHours":24.54437243292941,"quality":"auspicious"},{"name":"Kāla","start":"00:33","end":"02:11","startHours":24.54437243292941,"endHours":26.188910069606763,"quality":"inauspicious"},{"name":"Śubha","start":"02:11","end":"03:50","startHours":26.188910069606763,"endHours":27.833447706284115,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:29","startHours":27.833447706284115,"endHours":29.477985342961468,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:07","startHours":29.477985342961468,"endHours":31.122522979638823,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.122522979638822,"endHours":8.122522979638822,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.122522979638822,"endHours":9.122522979638822,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.122522979638822,"endHours":10.122522979638822,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.122522979638822,"endHours":11.122522979638822,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.122522979638822,"endHours":12.122522979638822,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.122522979638822,"endHours":13.122522979638822,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.122522979638822,"endHours":14.122522979638822,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.122522979638822,"endHours":15.122522979638822,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.122522979638822,"endHours":16.122522979638823,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.122522979638823,"endHours":17.122522979638823,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.122522979638823,"endHours":18.122522979638823,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.122522979638823,"endHours":19.122522979638823,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.122522979638823,"endHours":20.122522979638823,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.122522979638823,"endHours":21.122522979638823,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.122522979638823,"endHours":22.122522979638823,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.122522979638823,"endHours":23.122522979638823,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.122522979638823,"endHours":24.122522979638823,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.122522979638823,"endHours":25.122522979638823,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.122522979638823,"endHours":26.122522979638823,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.122522979638823,"endHours":27.122522979638823,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.122522979638823,"endHours":28.122522979638823,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.122522979638823,"endHours":29.122522979638823,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.122522979638823,"endHours":30.122522979638823,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.122522979638823,"endHours":31.122522979638823,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","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":-17.892002658842305,"eotMinutes":-13.357145975764517,"ayanamsa":23.3372}},"calendars":{"vikram_samvat":2020,"vikram_samvatsara":"Nala","saka_samvat":1885,"saka_samvatsara":"Śobhana","bengali_samvat":1370,"malayalam_era":1139,"nanakshahi_year":494,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pañcamī · Vikram 2020 Nala · Śaka 1885 Śobhana"},"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":"sarasvati-jayanti","name":"Sarasvatī Jayantī (Vasanta Pañchamī)","name_sanskrit":"सरस्वती जयन्ती / वसन्त पञ्चमी","tradition":"Pan-Hindu","associated_deity":"Sarasvatī (Vāk-tattva)","significance":"Manifestation of Devī Sarasvatī; vidyā-ārambha day; vasanta-ṛtu begins.","vrata":true,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Skanda Purāṇa","Devī Bhāgavata"]},{"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}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 30, 1963 CE · Mathurā · Vidhyamitra","description":"January 30, 1963 CE for Mathurā: Śukla Pañcamī, sūryodaya 07:07, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1963-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1963-01-30","sa":"https://sa.vidhyamitra.com/city/mathura/1963-01-30","hi":"https://hi.vidhyamitra.com/city/mathura/1963-01-30","x-default":"https://vidhyamitra.com/city/mathura/1963-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:39:49.844Z","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":"2026-05-14T15:39:49.844Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:39:49.844Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}