{"id":"vidhyamitra:city-day:rishikesh:2115-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2115-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-10-15","date_display":"October 15, 2115 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":2115,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493834.770833,"kali_year":5217,"ahargana":1905369.2708,"sun":{"sidereal_longitude":174.6625,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":140.4151,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.7527,"elapsed_within_tithi_degrees":1.7527},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.4151,"elapsed_within_degrees":7.0818},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.0776},"karana":{"half_tithi_index":54,"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":2115,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493834.770833,"ahargana":1905369.2708,"kali_year":5217,"ayanamsa_lahiri":25.4704,"grahas":{"sun":{"sidereal_longitude":175.68083000000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":140.18763,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":4.0421},"mars":{"sidereal_longitude":168.26333,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":168.39572999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":266.2591299999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":197.45753000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":354.82693,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":24.3668,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.3668,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493834.770833,"kali_year":5217,"ahargana":1905369.2708,"sun":{"sidereal_longitude":174.6625,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":140.4151,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":325.7527,"elapsed_within_tithi_degrees":1.7527},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":140.4151,"elapsed_within_degrees":7.0818},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.0776},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.042,"elongation":34.247},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.042,"opposition_distance":145.753}},"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":"06:17","sunsetLocal":"17:47","solarNoonLocal":"12:02","dayLengthHours":11.487463667295517,"dayLengthDisplay":"11 Hours 29 Mins 15 Secs","nightLengthDisplay":"12 Hours 30 Mins 45 Secs","moonriseLocal":"03:24","moonsetLocal":"15:56","rahuKala":{"name":"Rāhu Kāla","start":"14:54","end":"16:21","startHours":14.906412077302079,"endHours":16.34234503571402,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:10","end":"10:36","startHours":9.16268024365432,"endHours":10.598613202066261,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:02","end":"13:28","startHours":12.0345461604782,"endHours":13.47047911889014,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.971222515866062,"endHours":9.35413797144258,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:05","startHours":6.7694586463010875,"endHours":7.075791010762301,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.651630704901683,"endHours":12.417461616054718,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:31","startHours":4.759152504524372,"endHours":5.524983415677407,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:17","startHours":5.333525687889148,"endHours":6.290814326830441,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.949123438360786,"endHours":14.714954349513821,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.57827799412596,"endHours":17.978277994125957,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:15","startHours":17.778277994125958,"endHours":18.256922313596604,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.528277994125958,"endHours":19.278277994125958,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.651630704901685,"endHours":24.417461616054716,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:17","end":"07:44","startHours":6.290814326830441,"endHours":7.72674728524238,"quality":"inauspicious"},{"name":"Udveg","start":"07:44","end":"09:10","startHours":7.72674728524238,"endHours":9.16268024365432,"quality":"inauspicious"},{"name":"Chala","start":"09:10","end":"10:36","startHours":9.16268024365432,"endHours":10.598613202066261,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:02","startHours":10.598613202066261,"endHours":12.0345461604782,"quality":"auspicious"},{"name":"Amṛta","start":"12:02","end":"13:28","startHours":12.0345461604782,"endHours":13.47047911889014,"quality":"auspicious"},{"name":"Kāla","start":"13:28","end":"14:54","startHours":13.47047911889014,"endHours":14.906412077302079,"quality":"inauspicious"},{"name":"Śubha","start":"14:54","end":"16:21","startHours":14.906412077302079,"endHours":16.34234503571402,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:47","startHours":16.34234503571402,"endHours":17.778277994125958,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:47","end":"19:21","startHours":17.778277994125958,"endHours":19.34234503571402,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"20:54","startHours":19.34234503571402,"endHours":20.90641207730208,"quality":"auspicious"},{"name":"Roga","start":"20:54","end":"22:28","startHours":20.90641207730208,"endHours":22.47047911889014,"quality":"inauspicious"},{"name":"Udveg","start":"22:28","end":"00:02","startHours":22.47047911889014,"endHours":24.0345461604782,"quality":"inauspicious"},{"name":"Chala","start":"00:02","end":"01:36","startHours":24.0345461604782,"endHours":25.59861320206626,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:10","startHours":25.59861320206626,"endHours":27.16268024365432,"quality":"auspicious"},{"name":"Amṛta","start":"03:10","end":"04:44","startHours":27.16268024365432,"endHours":28.726747285242382,"quality":"auspicious"},{"name":"Kāla","start":"04:44","end":"06:17","startHours":28.726747285242382,"endHours":30.290814326830443,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.290814326830441,"endHours":7.290814326830441,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.290814326830441,"endHours":8.290814326830441,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.290814326830441,"endHours":9.290814326830441,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.290814326830441,"endHours":10.290814326830441,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.290814326830441,"endHours":11.290814326830441,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.290814326830441,"endHours":12.290814326830441,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.290814326830441,"endHours":13.290814326830441,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.290814326830441,"endHours":14.290814326830441,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.290814326830441,"endHours":15.290814326830441,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.290814326830441,"endHours":16.290814326830443,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.290814326830443,"endHours":17.290814326830443,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.290814326830443,"endHours":18.290814326830443,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.290814326830443,"endHours":19.290814326830443,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.290814326830443,"endHours":20.290814326830443,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.290814326830443,"endHours":21.290814326830443,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.290814326830443,"endHours":22.290814326830443,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.290814326830443,"endHours":23.290814326830443,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.290814326830443,"endHours":24.290814326830443,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.290814326830443,"endHours":25.290814326830443,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.290814326830443,"endHours":26.290814326830443,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.290814326830443,"endHours":27.290814326830443,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.290814326830443,"endHours":28.290814326830443,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.290814326830443,"endHours":29.290814326830443,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.290814326830443,"endHours":30.290814326830443,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","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":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-8.25124585418163,"eotMinutes":14.85683037130801,"ayanamsa":25.4704}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 October 15, 2115 CE · Ṛṣikeśa · Vidhyamitra","description":"October 15, 2115 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 06:17, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2115-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2115-10-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2115-10-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2115-10-15","x-default":"https://vidhyamitra.com/city/rishikesh/2115-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T02:04:24.615Z","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":"2026-05-22T02:04:24.615Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T02:04:24.615Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}