{"id":"vidhyamitra:city-day:rishikesh:1964-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1964-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-01-13","date_display":"January 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438407.770833,"kali_year":5065,"ahargana":1849942.2708,"sun":{"sidereal_longitude":268.4849,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":246.9936,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.5087,"elapsed_within_tithi_degrees":2.5087},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.9936,"elapsed_within_degrees":6.9936},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4784},"karana":{"half_tithi_index":56,"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":1964,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438407.770833,"ahargana":1849942.2708,"kali_year":5065,"ayanamsa_lahiri":23.3506,"grahas":{"sun":{"sidereal_longitude":268.531749,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":248.11224900000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":1.1},"mars":{"sidereal_longitude":276.96764899999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.98344900000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":349.383449,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":302.166249,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":299.016349,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":81.1559,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.1559,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438407.770833,"kali_year":5065,"ahargana":1849942.2708,"sun":{"sidereal_longitude":268.4849,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":246.9936,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":338.5087,"elapsed_within_tithi_degrees":2.5087},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.9936,"elapsed_within_degrees":6.9936},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4784},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.1,"elongation":21.491},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.1,"opposition_distance":158.509}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-0.89,"elongation":1.925}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:15","sunsetLocal":"17:37","solarNoonLocal":"12:26","dayLengthHours":10.368065342588514,"dayLengthDisplay":"10 Hours 22 Mins 05 Secs","nightLengthDisplay":"13 Hours 37 Mins 55 Secs","moonriseLocal":"05:59","moonsetLocal":"16:09","rahuKala":{"name":"Rāhu Kāla","start":"08:32","end":"09:50","startHours":8.538067688052202,"endHours":9.834075855875767,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:08","end":"12:26","startHours":11.13008402369933,"endHours":12.426092191522894,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:01","startHours":13.72210035934646,"endHours":15.018108527170023,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:00","startHours":9.661274766832625,"endHours":10.006876944918908,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.674062242836493,"endHours":7.95054398530552,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.080490013436611,"endHours":12.771694369609177,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.859650807883503,"endHours":6.55085516405607,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.378054075012929,"endHours":7.242059520228638,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.154103081954315,"endHours":14.845307438126882,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.410124862817153,"endHours":17.81012486281715,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.610124862817152,"endHours":18.042127585425007,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.360124862817152,"endHours":19.110124862817152,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.08049001343661,"endHours":24.77169436960918,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:15","end":"08:32","startHours":7.242059520228638,"endHours":8.538067688052202,"quality":"auspicious"},{"name":"Kāla","start":"08:32","end":"09:50","startHours":8.538067688052202,"endHours":9.834075855875767,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:08","startHours":9.834075855875767,"endHours":11.13008402369933,"quality":"auspicious"},{"name":"Roga","start":"11:08","end":"12:26","startHours":11.13008402369933,"endHours":12.426092191522894,"quality":"inauspicious"},{"name":"Udveg","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.72210035934646,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:01","startHours":13.72210035934646,"endHours":15.018108527170023,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:19","startHours":15.018108527170023,"endHours":16.314116694993587,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:37","startHours":16.314116694993587,"endHours":17.610124862817152,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:19","startHours":17.610124862817152,"endHours":19.314116694993587,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:01","startHours":19.314116694993587,"endHours":21.018108527170025,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:43","startHours":21.018108527170025,"endHours":22.72210035934646,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:26","startHours":22.72210035934646,"endHours":24.426092191522894,"quality":"inauspicious"},{"name":"Śubha","start":"00:26","end":"02:08","startHours":24.426092191522894,"endHours":26.130084023699332,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:50","startHours":26.130084023699332,"endHours":27.834075855875767,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:32","startHours":27.834075855875767,"endHours":29.5380676880522,"quality":"inauspicious"},{"name":"Chala","start":"05:32","end":"07:15","startHours":29.5380676880522,"endHours":31.242059520228636,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.242059520228638,"endHours":8.242059520228638,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.242059520228638,"endHours":9.242059520228638,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.242059520228638,"endHours":10.242059520228638,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.242059520228638,"endHours":11.242059520228638,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.242059520228638,"endHours":12.242059520228638,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.242059520228638,"endHours":13.242059520228638,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.242059520228638,"endHours":14.242059520228638,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.242059520228638,"endHours":15.242059520228638,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.242059520228638,"endHours":16.242059520228636,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.242059520228636,"endHours":17.242059520228636,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.242059520228636,"endHours":18.242059520228636,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.242059520228636,"endHours":19.242059520228636,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.242059520228636,"endHours":20.242059520228636,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.242059520228636,"endHours":21.242059520228636,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.242059520228636,"endHours":22.242059520228636,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.242059520228636,"endHours":23.242059520228636,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.242059520228636,"endHours":24.242059520228636,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.242059520228636,"endHours":25.242059520228636,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.242059520228636,"endHours":26.242059520228636,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.242059520228636,"endHours":27.242059520228636,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.242059520228636,"endHours":28.242059520228636,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.242059520228636,"endHours":29.242059520228636,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.242059520228636,"endHours":30.242059520228636,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.242059520228636,"endHours":31.242059520228636,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.658660420894538,"eotMinutes":-8.635931491373626,"ayanamsa":23.3506}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturdaśī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 1964 CE · Ṛṣikeśa · Vidhyamitra","description":"January 13, 1964 CE for Ṛṣikeśa: Kṛṣṇa Caturdaśī, sūryodaya 07:15, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1964-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1964-01-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/1964-01-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/1964-01-13","x-default":"https://vidhyamitra.com/city/rishikesh/1964-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T00:20:03.575Z","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":"2026-05-20T00:20:03.575Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T00:20:03.575Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}