{"id":"vidhyamitra:city-day:rishikesh:2003-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2003-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-09-13","date_display":"September 13, 2003 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":2003,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452895.770833,"kali_year":5105,"ahargana":1864430.2708,"sun":{"sidereal_longitude":145.2234,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":354.8986,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.6753,"elapsed_within_tithi_degrees":5.6753},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":354.8986,"elapsed_within_degrees":8.232},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.122},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2003,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452895.770833,"ahargana":1864430.2708,"kali_year":5105,"ayanamsa_lahiri":23.9047,"grahas":{"sun":{"sidereal_longitude":145.953301,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":353.028301,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-2.8065},"mars":{"sidereal_longitude":307.39290100000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":142.23630100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":129.701801,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":152.812001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":77.60650099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":33.512,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":213.512,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":2003,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452895.770833,"kali_year":5105,"ahargana":1864430.2708,"sun":{"sidereal_longitude":145.2234,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":354.8986,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.6753,"elapsed_within_tithi_degrees":5.6753},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":354.8986,"elapsed_within_degrees":8.232},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.122},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.807,"elongation":150.325},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.807,"opposition_distance":29.675}},"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":"05:59","sunsetLocal":"18:25","solarNoonLocal":"12:12","dayLengthHours":12.43966456378117,"dayLengthDisplay":"12 Hours 26 Mins 23 Secs","nightLengthDisplay":"11 Hours 33 Mins 37 Secs","moonriseLocal":"19:42","moonsetLocal":"08:19","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:39","startHours":9.093012676890275,"endHours":10.64797074736292,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:45","end":"15:19","startHours":13.757886888308214,"endHours":15.31284495878086,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:59","end":"07:32","startHours":5.983096535944982,"endHours":7.538054606417629,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.885684934160588,"endHours":9.30034041961996,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.501415892769198,"endHours":6.8331402811366955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.788273332376194,"endHours":12.617584303294938,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:09","startHours":4.324474594107493,"endHours":5.153785565026237,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.946457822296551,"endHours":5.983096535944982,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:06","startHours":14.276206245132428,"endHours":15.105517216051172,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.222761099726153,"endHours":18.62276109972615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:56","startHours":18.422761099726152,"endHours":18.941080456550367,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.172761099726152,"endHours":19.922761099726152,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.788273332376193,"endHours":24.61758430329494,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:59","end":"07:32","startHours":5.983096535944982,"endHours":7.538054606417629,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:06","startHours":7.538054606417629,"endHours":9.093012676890275,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:39","startHours":9.093012676890275,"endHours":10.64797074736292,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:12","startHours":10.64797074736292,"endHours":12.202928817835566,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.757886888308214,"quality":"neutral"},{"name":"Labha","start":"13:45","end":"15:19","startHours":13.757886888308214,"endHours":15.31284495878086,"quality":"auspicious"},{"name":"Amṛta","start":"15:19","end":"16:52","startHours":15.31284495878086,"endHours":16.86780302925351,"quality":"auspicious"},{"name":"Kāla","start":"16:52","end":"18:25","startHours":16.86780302925351,"endHours":18.422761099726152,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:25","end":"19:52","startHours":18.422761099726152,"endHours":19.867803029253505,"quality":"auspicious"},{"name":"Amṛta","start":"19:52","end":"21:19","startHours":19.867803029253505,"endHours":21.31284495878086,"quality":"auspicious"},{"name":"Kāla","start":"21:19","end":"22:45","startHours":21.31284495878086,"endHours":22.757886888308214,"quality":"inauspicious"},{"name":"Śubha","start":"22:45","end":"00:12","startHours":22.757886888308214,"endHours":24.202928817835566,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:39","startHours":24.202928817835566,"endHours":25.64797074736292,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:06","startHours":25.64797074736292,"endHours":27.093012676890275,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:32","startHours":27.093012676890275,"endHours":28.538054606417628,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"05:59","startHours":28.538054606417628,"endHours":29.98309653594498,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.983096535944982,"endHours":6.983096535944982,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.983096535944982,"endHours":7.983096535944982,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.983096535944982,"endHours":8.983096535944982,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.983096535944982,"endHours":9.983096535944982,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.983096535944982,"endHours":10.983096535944982,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.983096535944982,"endHours":11.983096535944982,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.983096535944982,"endHours":12.983096535944982,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.983096535944982,"endHours":13.983096535944982,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.983096535944982,"endHours":14.983096535944982,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.983096535944982,"endHours":15.983096535944982,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.983096535944982,"endHours":16.98309653594498,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98309653594498,"endHours":17.98309653594498,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98309653594498,"endHours":18.98309653594498,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98309653594498,"endHours":19.98309653594498,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98309653594498,"endHours":20.98309653594498,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98309653594498,"endHours":21.98309653594498,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98309653594498,"endHours":22.98309653594498,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98309653594498,"endHours":23.98309653594498,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98309653594498,"endHours":24.98309653594498,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98309653594498,"endHours":25.98309653594498,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98309653594498,"endHours":26.98309653594498,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98309653594498,"endHours":27.98309653594498,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98309653594498,"endHours":28.98309653594498,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98309653594498,"endHours":29.98309653594498,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":4.016057752518105,"eotMinutes":4.753870929866006,"ayanamsa":23.9047}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 September 13, 2003 CE · Ṛṣikeśa · Vidhyamitra","description":"September 13, 2003 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 05:59, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2003-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2003-09-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2003-09-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2003-09-13","x-default":"https://vidhyamitra.com/city/rishikesh/2003-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T23:20:36.201Z","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":"2026-05-16T23:20:36.201Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T23:20:36.201Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}