{"id":"vidhyamitra:city-day:mathura:1968-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1968-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-01-15","date_display":"January 15, 1968 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":1968,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439870.770833,"kali_year":5069,"ahargana":1851405.2708,"sun":{"sidereal_longitude":270.503,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":82.1597,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.6566,"elapsed_within_tithi_degrees":3.6566},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.1597,"elapsed_within_degrees":2.1597},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.6627},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1968,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2439870.770833,"ahargana":1851405.2708,"kali_year":5069,"ayanamsa_lahiri":23.4065,"grahas":{"sun":{"sidereal_longitude":270.542952,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":83.03255200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":4.4098},"mars":{"sidereal_longitude":311.405752,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":281.673352,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":131.972752,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":232.79785199999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":344.033452,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":3.6392,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":183.6392,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":1968,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439870.770833,"kali_year":5069,"ahargana":1851405.2708,"sun":{"sidereal_longitude":270.503,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":82.1597,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.6566,"elapsed_within_tithi_degrees":3.6566},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.1597,"elapsed_within_degrees":2.1597},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.6627},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.41,"elongation":171.657},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.41,"opposition_distance":8.343}},"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":"07:11","sunsetLocal":"17:46","solarNoonLocal":"12:29","dayLengthHours":10.57497152281298,"dayLengthDisplay":"10 Hours 34 Mins 30 Secs","nightLengthDisplay":"13 Hours 25 Mins 30 Secs","moonriseLocal":"17:06","moonsetLocal":"06:51","rahuKala":{"name":"Rāhu Kāla","start":"08:31","end":"09:50","startHours":8.511971503047352,"endHours":9.833842943398976,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:09","end":"12:29","startHours":11.155714383750599,"endHours":12.47758582410222,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:48","end":"15:07","startHours":13.799457264453842,"endHours":15.121328704805466,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.65759341801876,"endHours":10.010092468779192,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.630723876146272,"endHours":7.912723116754618,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.125086773341788,"endHours":12.830084874862653,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.780103859654,"endHours":6.485101961174865,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.308852435794649,"endHours":7.1901000626957305,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:57","startHours":14.240081077904385,"endHours":14.945079179425251,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.56507158550871,"endHours":17.96507158550871,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:12","startHours":17.76507158550871,"endHours":18.20569539895925,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.51507158550871,"endHours":19.26507158550871,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.12508677334179,"endHours":24.830084874862653,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:31","startHours":7.1901000626957305,"endHours":8.511971503047352,"quality":"auspicious"},{"name":"Kāla","start":"08:31","end":"09:50","startHours":8.511971503047352,"endHours":9.833842943398976,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:09","startHours":9.833842943398976,"endHours":11.155714383750599,"quality":"auspicious"},{"name":"Roga","start":"11:09","end":"12:29","startHours":11.155714383750599,"endHours":12.47758582410222,"quality":"inauspicious"},{"name":"Udveg","start":"12:29","end":"13:48","startHours":12.47758582410222,"endHours":13.799457264453842,"quality":"inauspicious"},{"name":"Chala","start":"13:48","end":"15:07","startHours":13.799457264453842,"endHours":15.121328704805466,"quality":"neutral"},{"name":"Labha","start":"15:07","end":"16:27","startHours":15.121328704805466,"endHours":16.44320014515709,"quality":"auspicious"},{"name":"Amṛta","start":"16:27","end":"17:46","startHours":16.44320014515709,"endHours":17.76507158550871,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:46","end":"19:27","startHours":17.76507158550871,"endHours":19.44320014515709,"quality":"neutral"},{"name":"Labha","start":"19:27","end":"21:07","startHours":19.44320014515709,"endHours":21.121328704805464,"quality":"auspicious"},{"name":"Amṛta","start":"21:07","end":"22:48","startHours":21.121328704805464,"endHours":22.799457264453842,"quality":"auspicious"},{"name":"Kāla","start":"22:48","end":"00:29","startHours":22.799457264453842,"endHours":24.47758582410222,"quality":"inauspicious"},{"name":"Śubha","start":"00:29","end":"02:09","startHours":24.47758582410222,"endHours":26.1557143837506,"quality":"auspicious"},{"name":"Roga","start":"02:09","end":"03:50","startHours":26.1557143837506,"endHours":27.833842943398977,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:31","startHours":27.833842943398977,"endHours":29.511971503047352,"quality":"inauspicious"},{"name":"Chala","start":"05:31","end":"07:11","startHours":29.511971503047352,"endHours":31.19010006269573,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1901000626957305,"endHours":8.19010006269573,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.19010006269573,"endHours":9.19010006269573,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.19010006269573,"endHours":10.19010006269573,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.19010006269573,"endHours":11.19010006269573,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.19010006269573,"endHours":12.19010006269573,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.19010006269573,"endHours":13.19010006269573,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.19010006269573,"endHours":14.19010006269573,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.19010006269573,"endHours":15.19010006269573,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.19010006269573,"endHours":16.19010006269573,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.19010006269573,"endHours":17.19010006269573,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.19010006269573,"endHours":18.19010006269573,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.19010006269573,"endHours":19.19010006269573,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.19010006269573,"endHours":20.19010006269573,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.19010006269573,"endHours":21.19010006269573,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.19010006269573,"endHours":22.19010006269573,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.19010006269573,"endHours":23.19010006269573,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.19010006269573,"endHours":24.19010006269573,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.19010006269573,"endHours":25.19010006269573,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.19010006269573,"endHours":26.19010006269573,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.19010006269573,"endHours":27.19010006269573,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.19010006269573,"endHours":28.19010006269573,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.19010006269573,"endHours":29.19010006269573,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.19010006269573,"endHours":30.19010006269573,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.19010006269573,"endHours":31.19010006269573,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.314638849702142,"eotMinutes":-9.349949446133257,"ayanamsa":23.4065}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pūrṇimā · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"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":"magha-purnima","name":"Māghī Pūrṇimā","name_sanskrit":"माघी पूर्णिमा","tradition":"Pan-Hindu","significance":"Sacred snāna at Prayāga; Māgha-snāna culmination.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2},{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"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 15, 1968 CE · Mathurā · Vidhyamitra","description":"January 15, 1968 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1968-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1968-01-15","sa":"https://sa.vidhyamitra.com/city/mathura/1968-01-15","hi":"https://hi.vidhyamitra.com/city/mathura/1968-01-15","x-default":"https://vidhyamitra.com/city/mathura/1968-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:51:30.248Z","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":"2026-05-14T16:51:30.248Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:51:30.248Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}