{"id":"vidhyamitra:city-day:mathura:1964-01-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1964-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-01-30","date_display":"January 30, 1964 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":1964,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438424.770833,"kali_year":5065,"ahargana":1849959.2708,"sun":{"sidereal_longitude":285.9141,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":121.2055,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.2914,"elapsed_within_tithi_degrees":3.2914},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.2055,"elapsed_within_degrees":1.2055},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.1196},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1964,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438424.770833,"ahargana":1849959.2708,"kali_year":5065,"ayanamsa_lahiri":23.3512,"grahas":{"sun":{"sidereal_longitude":285.8289,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":119.67809999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":2.9476},"mars":{"sidereal_longitude":290.3267000000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":261.74430000000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":351.8246,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":322.90329999999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":300.9633,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":80.2552,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.2552,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"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":1964,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438424.770833,"kali_year":5065,"ahargana":1849959.2708,"sun":{"sidereal_longitude":285.9141,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":121.2055,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.2914,"elapsed_within_tithi_degrees":3.2914},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.2055,"elapsed_within_degrees":1.2055},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.1196},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.948,"elongation":164.709},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.948,"opposition_distance":15.291}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":-0.89,"elongation":1.925}]},"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":"07:08","sunsetLocal":"17:58","solarNoonLocal":"12:33","dayLengthHours":10.838686236124492,"dayLengthDisplay":"10 Hours 50 Mins 19 Secs","nightLengthDisplay":"13 Hours 09 Mins 41 Secs","moonriseLocal":"18:56","moonsetLocal":"08:00","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:15","startHours":13.899208212444972,"endHours":15.254043991960533,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:29","startHours":7.125029314867164,"endHours":8.479865094382726,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:11","startHours":9.834700873898287,"endHours":11.18953665341385,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.654056103296213,"endHours":10.015345644500362,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.576641241372351,"endHours":7.8656728743356705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.18308289172526,"endHours":12.905661974133558,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:24","startHours":5.679871150050565,"endHours":6.402450232458865,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:08","startHours":6.22180546185679,"endHours":7.125029314867164,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.350820138950159,"endHours":15.073399221358459,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.763715550991655,"endHours":18.163715550991654,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:25","startHours":17.963715550991655,"endHours":18.41532747749684,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.713715550991655,"endHours":19.463715550991655,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.183082891725256,"endHours":24.905661974133558,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:08","end":"08:29","startHours":7.125029314867164,"endHours":8.479865094382726,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:50","startHours":8.479865094382726,"endHours":9.834700873898287,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:11","startHours":9.834700873898287,"endHours":11.18953665341385,"quality":"inauspicious"},{"name":"Chala","start":"11:11","end":"12:33","startHours":11.18953665341385,"endHours":12.54437243292941,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:54","startHours":12.54437243292941,"endHours":13.899208212444972,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:15","startHours":13.899208212444972,"endHours":15.254043991960533,"quality":"auspicious"},{"name":"Kāla","start":"15:15","end":"16:37","startHours":15.254043991960533,"endHours":16.608879771476094,"quality":"inauspicious"},{"name":"Śubha","start":"16:37","end":"17:58","startHours":16.608879771476094,"endHours":17.963715550991655,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:58","end":"19:37","startHours":17.963715550991655,"endHours":19.608879771476094,"quality":"auspicious"},{"name":"Kāla","start":"19:37","end":"21:15","startHours":19.608879771476094,"endHours":21.254043991960533,"quality":"inauspicious"},{"name":"Śubha","start":"21:15","end":"22:54","startHours":21.254043991960533,"endHours":22.899208212444968,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:33","startHours":22.899208212444968,"endHours":24.544372432929407,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:11","startHours":24.544372432929407,"endHours":26.189536653413846,"quality":"inauspicious"},{"name":"Chala","start":"02:11","end":"03:50","startHours":26.189536653413846,"endHours":27.834700873898285,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:29","startHours":27.834700873898285,"endHours":29.479865094382724,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:08","startHours":29.479865094382724,"endHours":31.125029314867163,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.125029314867164,"endHours":8.125029314867163,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.125029314867163,"endHours":9.125029314867163,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.125029314867163,"endHours":10.125029314867163,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.125029314867163,"endHours":11.125029314867163,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.125029314867163,"endHours":12.125029314867163,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.125029314867163,"endHours":13.125029314867163,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.125029314867163,"endHours":14.125029314867163,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.125029314867163,"endHours":15.125029314867163,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.125029314867163,"endHours":16.125029314867163,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.125029314867163,"endHours":17.125029314867163,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.125029314867163,"endHours":18.125029314867163,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.125029314867163,"endHours":19.125029314867163,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.125029314867163,"endHours":20.125029314867163,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.125029314867163,"endHours":21.125029314867163,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.125029314867163,"endHours":22.125029314867163,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.125029314867163,"endHours":23.125029314867163,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.125029314867163,"endHours":24.125029314867163,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.125029314867163,"endHours":25.125029314867163,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.125029314867163,"endHours":26.125029314867163,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.125029314867163,"endHours":27.125029314867163,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.125029314867163,"endHours":28.125029314867163,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.125029314867163,"endHours":29.125029314867163,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.125029314867163,"endHours":30.125029314867163,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.125029314867163,"endHours":31.125029314867163,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"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":-17.957284380224483,"eotMinutes":-13.357145975764517,"ayanamsa":23.3512}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Dvitīyā · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"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}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 1964 CE · Mathurā · Vidhyamitra","description":"January 30, 1964 CE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 07:08, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1964-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1964-01-30","sa":"https://sa.vidhyamitra.com/city/mathura/1964-01-30","hi":"https://hi.vidhyamitra.com/city/mathura/1964-01-30","x-default":"https://vidhyamitra.com/city/mathura/1964-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:30:14.995Z","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":"2026-05-14T19:30:14.995Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:30:14.995Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}