{"id":"vidhyamitra:city-day:rishikesh:2102-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2102-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-09-13","date_display":"September 13, 2102 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":2102,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489054.770833,"kali_year":5204,"ahargana":1900589.2708,"sun":{"sidereal_longitude":143.6546,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":148.9781,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.3235,"elapsed_within_tithi_degrees":5.3235},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.9781,"elapsed_within_degrees":2.3115},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.6328},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2102,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489054.770833,"ahargana":1900589.2708,"kali_year":5204,"ayanamsa_lahiri":25.2876,"grahas":{"sun":{"sidereal_longitude":144.62186099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":149.438961,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-3.5127},"mars":{"sidereal_longitude":164.87756100000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":131.287761,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":230.16646100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":138.623561,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":199.79186099999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":277.6342,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":97.6342,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2102,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489054.770833,"kali_year":5204,"ahargana":1900589.2708,"sun":{"sidereal_longitude":143.6546,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":148.9781,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.3235,"elapsed_within_tithi_degrees":5.3235},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":148.9781,"elapsed_within_degrees":2.3115},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.6328},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.513,"elongation":5.323},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.513,"opposition_distance":174.677}},"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":12.438090809021055,"dayLengthDisplay":"12 Hours 26 Mins 17 Secs","nightLengthDisplay":"11 Hours 33 Mins 43 Secs","moonriseLocal":"06:24","moonsetLocal":"18:39","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.7576901689632,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:32","end":"09:06","startHours":7.5386447644526715,"endHours":9.093406115580304,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:12","startHours":10.648167466707935,"endHours":12.202928817835566,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.88610460209662,"endHours":9.300707629063988,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.5021371970342505,"endHours":6.833819618608145,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.788325790868198,"endHours":12.617531844802935,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:09","startHours":4.325471305455565,"endHours":5.154677359390303,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.947375845906619,"endHours":5.98388341332504,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:06","startHours":14.27594395267241,"endHours":15.105150006607147,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.221974222346095,"endHours":18.621974222346093,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:56","startHours":18.421974222346094,"endHours":18.940228006055303,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.171974222346094,"endHours":19.921974222346094,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.788325790868196,"endHours":24.617531844802937,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:59","end":"07:32","startHours":5.98388341332504,"endHours":7.5386447644526715,"quality":"auspicious"},{"name":"Amṛta","start":"07:32","end":"09:06","startHours":7.5386447644526715,"endHours":9.093406115580304,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:39","startHours":9.093406115580304,"endHours":10.648167466707935,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:12","startHours":10.648167466707935,"endHours":12.202928817835566,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.7576901689632,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:19","startHours":13.7576901689632,"endHours":15.312451520090832,"quality":"inauspicious"},{"name":"Chala","start":"15:19","end":"16:52","startHours":15.312451520090832,"endHours":16.867212871218463,"quality":"neutral"},{"name":"Labha","start":"16:52","end":"18:25","startHours":16.867212871218463,"endHours":18.421974222346094,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:25","end":"19:52","startHours":18.421974222346094,"endHours":19.867212871218463,"quality":"inauspicious"},{"name":"Chala","start":"19:52","end":"21:19","startHours":19.867212871218463,"endHours":21.312451520090832,"quality":"neutral"},{"name":"Labha","start":"21:19","end":"22:45","startHours":21.312451520090832,"endHours":22.757690168963197,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:12","startHours":22.757690168963197,"endHours":24.202928817835566,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:39","startHours":24.202928817835566,"endHours":25.648167466707935,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:06","startHours":25.648167466707935,"endHours":27.0934061155803,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:32","startHours":27.0934061155803,"endHours":28.53864476445267,"quality":"inauspicious"},{"name":"Udveg","start":"04:32","end":"05:59","startHours":28.53864476445267,"endHours":29.98388341332504,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.98388341332504,"endHours":6.98388341332504,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.98388341332504,"endHours":7.98388341332504,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.98388341332504,"endHours":8.983883413325039,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.983883413325039,"endHours":9.983883413325039,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.983883413325039,"endHours":10.983883413325039,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.983883413325039,"endHours":11.983883413325039,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.983883413325039,"endHours":12.983883413325039,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.983883413325039,"endHours":13.983883413325039,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.983883413325039,"endHours":14.983883413325039,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.983883413325039,"endHours":15.983883413325039,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.983883413325039,"endHours":16.98388341332504,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98388341332504,"endHours":17.98388341332504,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98388341332504,"endHours":18.98388341332504,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98388341332504,"endHours":19.98388341332504,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98388341332504,"endHours":20.98388341332504,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98388341332504,"endHours":21.98388341332504,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98388341332504,"endHours":22.98388341332504,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98388341332504,"endHours":23.98388341332504,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98388341332504,"endHours":24.98388341332504,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98388341332504,"endHours":25.98388341332504,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98388341332504,"endHours":26.98388341332504,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98388341332504,"endHours":27.98388341332504,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98388341332504,"endHours":28.98388341332504,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98388341332504,"endHours":29.98388341332504,"planetary_lord":"Sun"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"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":3.9958592898019245,"eotMinutes":4.753870929866006,"ayanamsa":25.2876}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Pratipada · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2102 CE · Ṛṣikeśa · Vidhyamitra","description":"September 13, 2102 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:59, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2102-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2102-09-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2102-09-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2102-09-13","x-default":"https://vidhyamitra.com/city/rishikesh/2102-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T03:21:41.537Z","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":"2026-05-21T03:21:41.537Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T03:21:41.537Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}