{"id":"vidhyamitra:city-day:mathura:1968-02-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1968-02-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-02-13","date_display":"February 13, 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":2,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439899.770833,"kali_year":5069,"ahargana":1851434.2708,"sun":{"sidereal_longitude":300.1531,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":103.4902,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.3371,"elapsed_within_tithi_degrees":7.3371},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.4902,"elapsed_within_degrees":10.1568},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.6433},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2439899.770833,"ahargana":1851434.2708,"kali_year":5069,"ayanamsa_lahiri":23.4076,"grahas":{"sun":{"sidereal_longitude":299.9920440000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":104.43444399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":4.4112},"mars":{"sidereal_longitude":333.87474399999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":305.912544,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":128.870044,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":268.2372439999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":346.428744,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":2.1026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":182.1026,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":1968,"month":2,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439899.770833,"kali_year":5069,"ahargana":1851434.2708,"sun":{"sidereal_longitude":300.1531,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":103.4902,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.3371,"elapsed_within_tithi_degrees":7.3371},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.4902,"elapsed_within_degrees":10.1568},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.6433},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.411,"elongation":163.337},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.411,"opposition_distance":16.663}},"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":"06:59","sunsetLocal":"18:09","solarNoonLocal":"12:34","dayLengthHours":11.156722601310191,"dayLengthDisplay":"11 Hours 09 Mins 24 Secs","nightLengthDisplay":"12 Hours 50 Mins 36 Secs","moonriseLocal":"16:49","moonsetLocal":"06:14","rahuKala":{"name":"Rāhu Kāla","start":"15:21","end":"16:45","startHours":15.35425940467125,"endHours":16.748849729835023,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:47","end":"11:10","startHours":9.775898104016155,"endHours":11.17048842917993,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:34","end":"13:58","startHours":12.565078754343702,"endHours":13.959669079507478,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:58","startHours":9.589952727327653,"endHours":9.961843480704658,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:45","startHours":7.451580895409865,"endHours":7.7490934981114705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"12:56","startHours":12.193188000966696,"endHours":12.936969507720708,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:30","end":"06:15","startHours":5.499154440180582,"endHours":6.242935946934594,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:59","startHours":6.056990570246091,"endHours":6.986717453688607,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:10","startHours":14.424532521228734,"endHours":15.168314027982747,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.9434400549988,"endHours":18.343440054998798,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:36","startHours":18.1434400549988,"endHours":18.608303496720055,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.8934400549988,"endHours":19.6434400549988,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"00:56","startHours":24.193188000966696,"endHours":24.936969507720708,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:59","end":"08:23","startHours":6.986717453688607,"endHours":8.381307778852381,"quality":"inauspicious"},{"name":"Udveg","start":"08:23","end":"09:47","startHours":8.381307778852381,"endHours":9.775898104016155,"quality":"inauspicious"},{"name":"Chala","start":"09:47","end":"11:10","startHours":9.775898104016155,"endHours":11.17048842917993,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:34","startHours":11.17048842917993,"endHours":12.565078754343702,"quality":"auspicious"},{"name":"Amṛta","start":"12:34","end":"13:58","startHours":12.565078754343702,"endHours":13.959669079507478,"quality":"auspicious"},{"name":"Kāla","start":"13:58","end":"15:21","startHours":13.959669079507478,"endHours":15.35425940467125,"quality":"inauspicious"},{"name":"Śubha","start":"15:21","end":"16:45","startHours":15.35425940467125,"endHours":16.748849729835023,"quality":"auspicious"},{"name":"Roga","start":"16:45","end":"18:09","startHours":16.748849729835023,"endHours":18.1434400549988,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:09","end":"19:45","startHours":18.1434400549988,"endHours":19.748849729835026,"quality":"inauspicious"},{"name":"Śubha","start":"19:45","end":"21:21","startHours":19.748849729835026,"endHours":21.35425940467125,"quality":"auspicious"},{"name":"Roga","start":"21:21","end":"22:58","startHours":21.35425940467125,"endHours":22.959669079507478,"quality":"inauspicious"},{"name":"Udveg","start":"22:58","end":"00:34","startHours":22.959669079507478,"endHours":24.565078754343702,"quality":"inauspicious"},{"name":"Chala","start":"00:34","end":"02:10","startHours":24.565078754343702,"endHours":26.17048842917993,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:47","startHours":26.17048842917993,"endHours":27.775898104016157,"quality":"auspicious"},{"name":"Amṛta","start":"03:47","end":"05:23","startHours":27.775898104016157,"endHours":29.38130777885238,"quality":"auspicious"},{"name":"Kāla","start":"05:23","end":"06:59","startHours":29.38130777885238,"endHours":30.986717453688605,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.986717453688607,"endHours":7.986717453688607,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.986717453688607,"endHours":8.986717453688607,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.986717453688607,"endHours":9.986717453688607,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.986717453688607,"endHours":10.986717453688607,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.986717453688607,"endHours":11.986717453688607,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.986717453688607,"endHours":12.986717453688607,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.986717453688607,"endHours":13.986717453688607,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.986717453688607,"endHours":14.986717453688607,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.986717453688607,"endHours":15.986717453688607,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.986717453688607,"endHours":16.986717453688605,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.986717453688605,"endHours":17.986717453688605,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.986717453688605,"endHours":18.986717453688605,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.986717453688605,"endHours":19.986717453688605,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.986717453688605,"endHours":20.986717453688605,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.986717453688605,"endHours":21.986717453688605,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.986717453688605,"endHours":22.986717453688605,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.986717453688605,"endHours":23.986717453688605,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.986717453688605,"endHours":24.986717453688605,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.986717453688605,"endHours":25.986717453688605,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.986717453688605,"endHours":26.986717453688605,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.986717453688605,"endHours":27.986717453688605,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.986717453688605,"endHours":28.986717453688605,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.986717453688605,"endHours":29.986717453688605,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.986717453688605,"endHours":30.986717453688605,"planetary_lord":"Saturn"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","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":-13.717800380505572,"eotMinutes":-14.599525260622107,"ayanamsa":23.4076}},"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 Caturdaśī · 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":"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 February 13, 1968 CE · Mathurā · Vidhyamitra","description":"February 13, 1968 CE for Mathurā: Śukla Caturdaśī, sūryodaya 06:59, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1968-02-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1968-02-13","sa":"https://sa.vidhyamitra.com/city/mathura/1968-02-13","hi":"https://hi.vidhyamitra.com/city/mathura/1968-02-13","x-default":"https://vidhyamitra.com/city/mathura/1968-02-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:13:31.529Z","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":"2026-05-14T17:13:31.530Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:13:31.530Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}