{"id":"vidhyamitra:city-day:rishikesh:2053-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2053-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2053-01-13","date_display":"January 13, 2053 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":2053,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470915.770833,"kali_year":5154,"ahargana":1882450.2708,"sun":{"sidereal_longitude":268.4547,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":190.3388,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.8841,"elapsed_within_tithi_degrees":5.8841},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.3388,"elapsed_within_degrees":3.6722},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.7936},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":2053,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470915.770833,"ahargana":1882450.2708,"kali_year":5154,"ayanamsa_lahiri":24.5939,"grahas":{"sun":{"sidereal_longitude":268.709704,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":193.05210399999999,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":2.3571},"mars":{"sidereal_longitude":14.42350399999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":271.4559039999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":188.68600400000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":252.84720400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":305.06320400000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":158.7257,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":338.7257,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"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":2053,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470915.770833,"kali_year":5154,"ahargana":1882450.2708,"sun":{"sidereal_longitude":268.4547,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":190.3388,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.8841,"elapsed_within_tithi_degrees":5.8841},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.3388,"elapsed_within_degrees":3.6722},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.7936},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.357,"elongation":78.116},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.357,"opposition_distance":101.884}},"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":10.389163139325674,"dayLengthDisplay":"10 Hours 23 Mins 21 Secs","nightLengthDisplay":"13 Hours 36 Mins 39 Secs","moonriseLocal":"01:54","moonsetLocal":"12:52","rahuKala":{"name":"Rāhu Kāla","start":"08:32","end":"09:50","startHours":8.530156014275768,"endHours":9.828801406691476,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:08","end":"12:26","startHours":11.127446799107187,"endHours":12.426092191522894,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:43","end":"15:01","startHours":13.724737583938605,"endHours":15.023382976354313,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.655648687702715,"endHours":10.001954125680237,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.664392419331961,"endHours":7.941436769713978,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.079786753545372,"endHours":12.772397629500416,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.8462888699499675,"endHours":6.538899745905013,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.365747026916251,"endHours":7.231510621860058,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.157619381410509,"endHours":14.850230257365554,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.420673761185732,"endHours":17.82067376118573,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.62067376118573,"endHours":18.053555558657635,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.37067376118573,"endHours":19.12067376118573,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.07978675354537,"endHours":24.772397629500418,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:14","end":"08:32","startHours":7.231510621860058,"endHours":8.530156014275768,"quality":"auspicious"},{"name":"Kāla","start":"08:32","end":"09:50","startHours":8.530156014275768,"endHours":9.828801406691476,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:08","startHours":9.828801406691476,"endHours":11.127446799107187,"quality":"auspicious"},{"name":"Roga","start":"11:08","end":"12:26","startHours":11.127446799107187,"endHours":12.426092191522894,"quality":"inauspicious"},{"name":"Udveg","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.724737583938605,"quality":"inauspicious"},{"name":"Chala","start":"13:43","end":"15:01","startHours":13.724737583938605,"endHours":15.023382976354313,"quality":"neutral"},{"name":"Labha","start":"15:01","end":"16:19","startHours":15.023382976354313,"endHours":16.322028368770024,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:37","startHours":16.322028368770024,"endHours":17.62067376118573,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:37","end":"19:19","startHours":17.62067376118573,"endHours":19.32202836877002,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"21:01","startHours":19.32202836877002,"endHours":21.023382976354313,"quality":"auspicious"},{"name":"Amṛta","start":"21:01","end":"22:43","startHours":21.023382976354313,"endHours":22.724737583938605,"quality":"auspicious"},{"name":"Kāla","start":"22:43","end":"00:26","startHours":22.724737583938605,"endHours":24.426092191522894,"quality":"inauspicious"},{"name":"Śubha","start":"00:26","end":"02:08","startHours":24.426092191522894,"endHours":26.127446799107183,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:50","startHours":26.127446799107183,"endHours":27.828801406691476,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:32","startHours":27.828801406691476,"endHours":29.530156014275768,"quality":"inauspicious"},{"name":"Chala","start":"05:32","end":"07:14","startHours":29.530156014275768,"endHours":31.231510621860057,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.231510621860058,"endHours":8.231510621860057,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.231510621860057,"endHours":9.231510621860057,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.231510621860057,"endHours":10.231510621860057,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.231510621860057,"endHours":11.231510621860057,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.231510621860057,"endHours":12.231510621860057,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.231510621860057,"endHours":13.231510621860057,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.231510621860057,"endHours":14.231510621860057,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.231510621860057,"endHours":15.231510621860057,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.231510621860057,"endHours":16.231510621860057,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.231510621860057,"endHours":17.231510621860057,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.231510621860057,"endHours":18.231510621860057,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.231510621860057,"endHours":19.231510621860057,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.231510621860057,"endHours":20.231510621860057,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.231510621860057,"endHours":21.231510621860057,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.231510621860057,"endHours":22.231510621860057,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.231510621860057,"endHours":23.231510621860057,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.231510621860057,"endHours":24.231510621860057,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.231510621860057,"endHours":25.231510621860057,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.231510621860057,"endHours":26.231510621860057,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.231510621860057,"endHours":27.231510621860057,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.231510621860057,"endHours":28.231510621860057,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.231510621860057,"endHours":29.231510621860057,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.231510621860057,"endHours":30.231510621860057,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.231510621860057,"endHours":31.231510621860057,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","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":-21.425187347909677,"eotMinutes":-8.635931491373626,"ayanamsa":24.5939}},"calendars":{"vikram_samvat":2110,"vikram_samvatsara":"Vyaya","saka_samvat":1975,"saka_samvatsara":"Śrīmukha","bengali_samvat":1460,"malayalam_era":1229,"nanakshahi_year":584,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 2110 Vyaya · Śaka 1975 Śrīmukha"},"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":"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, 2053 CE · Ṛṣikeśa · Vidhyamitra","description":"January 13, 2053 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2053-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2053-01-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2053-01-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2053-01-13","x-default":"https://vidhyamitra.com/city/rishikesh/2053-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T03:49:07.462Z","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":"2026-05-17T03:49:07.462Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T03:49:07.462Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}