{"id":"vidhyamitra:city-day:rishikesh:2013-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2013-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-10-16","date_display":"October 16, 2013 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":2013,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456581.770833,"kali_year":5115,"ahargana":1868116.2708,"sun":{"sidereal_longitude":178.0294,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":322.2235,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.1941,"elapsed_within_tithi_degrees":0.1941},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.2235,"elapsed_within_degrees":2.2235},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.2529},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2013,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456581.770833,"ahargana":1868116.2708,"kali_year":5115,"ayanamsa_lahiri":24.0456,"grahas":{"sun":{"sidereal_longitude":178.79566899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":322.170669,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":3.7289},"mars":{"sidereal_longitude":126.13076899999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":202.73696900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":85.08446900000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":224.85706900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":197.38356899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":198.21,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.21,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456581.770833,"kali_year":5115,"ahargana":1868116.2708,"sun":{"sidereal_longitude":178.0294,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":322.2235,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":144.1941,"elapsed_within_tithi_degrees":0.1941},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.2235,"elapsed_within_degrees":2.2235},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":140.2529},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.729,"elongation":144.194},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.729,"opposition_distance":35.806}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":1.128,"opposition_distance":2.501}]},"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":"06:19","sunsetLocal":"17:45","solarNoonLocal":"12:02","dayLengthHours":11.4377624599758,"dayLengthDisplay":"11 Hours 26 Mins 16 Secs","nightLengthDisplay":"12 Hours 33 Mins 44 Secs","moonriseLocal":"15:45","moonsetLocal":"03:25","rahuKala":{"name":"Rāhu Kāla","start":"12:02","end":"13:28","startHours":12.031364507146982,"endHours":13.461084814643957,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:45","end":"09:10","startHours":7.742203584656056,"endHours":9.171923892153032,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:02","startHours":10.601644199650007,"endHours":12.031364507146982,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.981294517820102,"endHours":9.36255326648596,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.789056712991406,"endHours":7.094063711924094,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.650105758481121,"endHours":12.412623255812843,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.787448282495641,"endHours":5.549965779827361,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:19","startHours":5.359336405494431,"endHours":6.312483277159081,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:42","startHours":13.937658250476282,"endHours":14.700175747808002,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.550245737134883,"endHours":17.950245737134882,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:14","startHours":17.750245737134883,"endHours":18.226819172967208,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.500245737134883,"endHours":19.250245737134883,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.65010575848112,"endHours":24.412623255812843,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:19","end":"07:45","startHours":6.312483277159081,"endHours":7.742203584656056,"quality":"auspicious"},{"name":"Amṛta","start":"07:45","end":"09:10","startHours":7.742203584656056,"endHours":9.171923892153032,"quality":"auspicious"},{"name":"Kāla","start":"09:10","end":"10:36","startHours":9.171923892153032,"endHours":10.601644199650007,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:02","startHours":10.601644199650007,"endHours":12.031364507146982,"quality":"auspicious"},{"name":"Roga","start":"12:02","end":"13:28","startHours":12.031364507146982,"endHours":13.461084814643957,"quality":"inauspicious"},{"name":"Udveg","start":"13:28","end":"14:53","startHours":13.461084814643957,"endHours":14.890805122140932,"quality":"inauspicious"},{"name":"Chala","start":"14:53","end":"16:19","startHours":14.890805122140932,"endHours":16.320525429637907,"quality":"neutral"},{"name":"Labha","start":"16:19","end":"17:45","startHours":16.320525429637907,"endHours":17.750245737134883,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:45","end":"19:19","startHours":17.750245737134883,"endHours":19.320525429637907,"quality":"inauspicious"},{"name":"Chala","start":"19:19","end":"20:53","startHours":19.320525429637907,"endHours":20.890805122140932,"quality":"neutral"},{"name":"Labha","start":"20:53","end":"22:28","startHours":20.890805122140932,"endHours":22.461084814643957,"quality":"auspicious"},{"name":"Amṛta","start":"22:28","end":"00:02","startHours":22.461084814643957,"endHours":24.031364507146982,"quality":"auspicious"},{"name":"Kāla","start":"00:02","end":"01:36","startHours":24.031364507146982,"endHours":25.601644199650007,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"03:10","startHours":25.601644199650007,"endHours":27.171923892153032,"quality":"auspicious"},{"name":"Roga","start":"03:10","end":"04:45","startHours":27.171923892153032,"endHours":28.742203584656057,"quality":"inauspicious"},{"name":"Udveg","start":"04:45","end":"06:19","startHours":28.742203584656057,"endHours":30.31248327715908,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.312483277159081,"endHours":7.312483277159081,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.312483277159081,"endHours":8.312483277159082,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.312483277159082,"endHours":9.312483277159082,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.312483277159082,"endHours":10.312483277159082,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.312483277159082,"endHours":11.312483277159082,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.312483277159082,"endHours":12.312483277159082,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.312483277159082,"endHours":13.312483277159082,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.312483277159082,"endHours":14.312483277159082,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.312483277159082,"endHours":15.312483277159082,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.312483277159082,"endHours":16.31248327715908,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.31248327715908,"endHours":17.31248327715908,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.31248327715908,"endHours":18.31248327715908,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.31248327715908,"endHours":19.31248327715908,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.31248327715908,"endHours":20.31248327715908,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.31248327715908,"endHours":21.31248327715908,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.31248327715908,"endHours":22.31248327715908,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.31248327715908,"endHours":23.31248327715908,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.31248327715908,"endHours":24.31248327715908,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.31248327715908,"endHours":25.31248327715908,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.31248327715908,"endHours":26.31248327715908,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.31248327715908,"endHours":27.31248327715908,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.31248327715908,"endHours":28.31248327715908,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.31248327715908,"endHours":29.31248327715908,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.31248327715908,"endHours":30.31248327715908,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":-8.88151172483208,"eotMinutes":15.04772957118102,"ayanamsa":24.0456}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"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":"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 October 16, 2013 CE · Ṛṣikeśa · Vidhyamitra","description":"October 16, 2013 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:19, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2013-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2013-10-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2013-10-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2013-10-16","x-default":"https://vidhyamitra.com/city/rishikesh/2013-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T02:07:28.880Z","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":"2026-05-16T02:07:28.880Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T02:07:28.880Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}