{"id":"vidhyamitra:city-day:rishikesh:2004-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2004-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-01-13","date_display":"January 13, 2004 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":2004,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453017.770833,"kali_year":5105,"ahargana":1864552.2708,"sun":{"sidereal_longitude":268.125,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":153.3237,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.1986,"elapsed_within_tithi_degrees":5.1986},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":153.3237,"elapsed_within_degrees":6.657},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.4487},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2004,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453017.770833,"ahargana":1864552.2708,"kali_year":5105,"ayanamsa_lahiri":23.9093,"grahas":{"sun":{"sidereal_longitude":268.2682400000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":151.36523999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":3.6265},"mars":{"sidereal_longitude":352.54924,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":244.80074000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":144.91544,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":303.9865400000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":74.73633999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":27.0478,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":207.0478,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2004,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453017.770833,"kali_year":5105,"ahargana":1864552.2708,"sun":{"sidereal_longitude":268.125,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":153.3237,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.1986,"elapsed_within_tithi_degrees":5.1986},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":153.3237,"elapsed_within_degrees":6.657},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.4487},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.626,"elongation":114.801},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.626,"opposition_distance":65.199}},"eclipse_window_40days":[]},"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":"07:14","sunsetLocal":"17:37","solarNoonLocal":"12:26","dayLengthHours":10.372352786642637,"dayLengthDisplay":"10 Hours 22 Mins 20 Secs","nightLengthDisplay":"13 Hours 37 Mins 40 Secs","moonriseLocal":"22:31","moonsetLocal":"10:45","rahuKala":{"name":"Rāhu Kāla","start":"15:01","end":"16:19","startHours":15.019180388183553,"endHours":16.315724486513883,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:08","startHours":9.833003994862235,"endHours":11.129548093192565,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.722636289853224,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:00","startHours":9.660131448418191,"endHours":10.00587654130628,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.672097164311687,"endHours":7.948693238622157,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.080347098634807,"endHours":12.771837284410982,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.856935426649225,"endHours":6.548425612425401,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.375553065981357,"endHours":7.239915798201577,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.154817655963335,"endHours":14.846307841739511,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.412268584844213,"endHours":17.81226858484421,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.612268584844212,"endHours":18.044449950954323,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.362268584844212,"endHours":19.112268584844212,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.080347098634807,"endHours":24.77183728441098,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:32","startHours":7.239915798201577,"endHours":8.536459896531905,"quality":"inauspicious"},{"name":"Udveg","start":"08:32","end":"09:50","startHours":8.536459896531905,"endHours":9.833003994862235,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:08","startHours":9.833003994862235,"endHours":11.129548093192565,"quality":"neutral"},{"name":"Labha","start":"11:08","end":"12:26","startHours":11.129548093192565,"endHours":12.426092191522894,"quality":"auspicious"},{"name":"Amṛta","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.722636289853224,"quality":"auspicious"},{"name":"Kāla","start":"13:43","end":"15:01","startHours":13.722636289853224,"endHours":15.019180388183553,"quality":"inauspicious"},{"name":"Śubha","start":"15:01","end":"16:19","startHours":15.019180388183553,"endHours":16.315724486513883,"quality":"auspicious"},{"name":"Roga","start":"16:19","end":"17:37","startHours":16.315724486513883,"endHours":17.612268584844212,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:37","end":"19:19","startHours":17.612268584844212,"endHours":19.315724486513883,"quality":"inauspicious"},{"name":"Śubha","start":"19:19","end":"21:01","startHours":19.315724486513883,"endHours":21.019180388183553,"quality":"auspicious"},{"name":"Roga","start":"21:01","end":"22:43","startHours":21.019180388183553,"endHours":22.722636289853224,"quality":"inauspicious"},{"name":"Udveg","start":"22:43","end":"00:26","startHours":22.722636289853224,"endHours":24.426092191522894,"quality":"inauspicious"},{"name":"Chala","start":"00:26","end":"02:08","startHours":24.426092191522894,"endHours":26.129548093192565,"quality":"neutral"},{"name":"Labha","start":"02:08","end":"03:50","startHours":26.129548093192565,"endHours":27.833003994862235,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:32","startHours":27.833003994862235,"endHours":29.536459896531905,"quality":"auspicious"},{"name":"Kāla","start":"05:32","end":"07:14","startHours":29.536459896531905,"endHours":31.239915798201576,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.239915798201577,"endHours":8.239915798201576,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.239915798201576,"endHours":9.239915798201576,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.239915798201576,"endHours":10.239915798201576,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.239915798201576,"endHours":11.239915798201576,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.239915798201576,"endHours":12.239915798201576,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.239915798201576,"endHours":13.239915798201576,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.239915798201576,"endHours":14.239915798201576,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.239915798201576,"endHours":15.239915798201576,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.239915798201576,"endHours":16.239915798201576,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.239915798201576,"endHours":17.239915798201576,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.239915798201576,"endHours":18.239915798201576,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.239915798201576,"endHours":19.239915798201576,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.239915798201576,"endHours":20.239915798201576,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.239915798201576,"endHours":21.239915798201576,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.239915798201576,"endHours":22.239915798201576,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.239915798201576,"endHours":23.239915798201576,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.239915798201576,"endHours":24.239915798201576,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.239915798201576,"endHours":25.239915798201576,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.239915798201576,"endHours":26.239915798201576,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.239915798201576,"endHours":27.239915798201576,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.239915798201576,"endHours":28.239915798201576,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.239915798201576,"endHours":29.239915798201576,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.239915798201576,"endHours":30.239915798201576,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.239915798201576,"endHours":31.239915798201576,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"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":-21.61128457789779,"eotMinutes":-8.635931491373626,"ayanamsa":23.9093}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"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}],"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":"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, 2004 CE · Ṛṣikeśa · Vidhyamitra","description":"January 13, 2004 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2004-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2004-01-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2004-01-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2004-01-13","x-default":"https://vidhyamitra.com/city/rishikesh/2004-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T18:40:48.849Z","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":"2026-05-16T18:40:48.849Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T18:40:48.849Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}