{"id":"vidhyamitra:city-day:rishikesh:1975-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1975-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1975-10-15","date_display":"October 15, 1975 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":1975,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2442700.770833,"kali_year":5077,"ahargana":1854235.2708,"sun":{"sidereal_longitude":176.8702,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":298.2732,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":121.403,"elapsed_within_tithi_degrees":1.403},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.2732,"elapsed_within_degrees":4.9399},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.1435},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":1975,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2442700.770833,"ahargana":1854235.2708,"kali_year":5077,"ayanamsa_lahiri":23.5147,"grahas":{"sun":{"sidereal_longitude":177.54662499999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":301.2209250000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":4.4798},"mars":{"sidereal_longitude":66.175525,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":167.09242500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":355.921225,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":133.727825,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":98.67692499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":213.6921,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.6921,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"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":1975,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2442700.770833,"kali_year":5077,"ahargana":1854235.2708,"sun":{"sidereal_longitude":176.8702,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":298.2732,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":121.403,"elapsed_within_tithi_degrees":1.403},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.2732,"elapsed_within_degrees":4.9399},"yoga":{"number":9,"name":"Śūla","sum_longitude":115.1435},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.48,"elongation":121.403},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.48,"opposition_distance":58.597}},"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":11.49011693980421,"dayLengthDisplay":"11 Hours 29 Mins 24 Secs","nightLengthDisplay":"12 Hours 30 Mins 36 Secs","moonriseLocal":"14:45","moonsetLocal":"01:48","rahuKala":{"name":"Rāhu Kāla","start":"12:02","end":"13:28","startHours":12.0345461604782,"endHours":13.470810777953727,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:44","end":"09:10","startHours":7.725752308051622,"endHours":9.162016925527148,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:02","startHours":10.598281543002674,"endHours":12.0345461604782,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.970514976530412,"endHours":9.353518874523886,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:04","startHours":6.768242563067938,"endHours":7.074645681462717,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:25","startHours":11.651542262484726,"endHours":12.417550058471674,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.757472098602202,"endHours":5.523479894589149,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:17","startHours":5.331977945592412,"endHours":6.289487690576096,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:43","startHours":13.949565650445571,"endHours":14.715573446432519,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.579604630380306,"endHours":17.979604630380305,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:16","startHours":17.779604630380305,"endHours":18.258359502872146,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.529604630380305,"endHours":19.279604630380305,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:25","startHours":23.65154226248473,"endHours":24.417550058471672,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:17","end":"07:44","startHours":6.289487690576096,"endHours":7.725752308051622,"quality":"auspicious"},{"name":"Amṛta","start":"07:44","end":"09:10","startHours":7.725752308051622,"endHours":9.162016925527148,"quality":"auspicious"},{"name":"Kāla","start":"09:10","end":"10:36","startHours":9.162016925527148,"endHours":10.598281543002674,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:02","startHours":10.598281543002674,"endHours":12.0345461604782,"quality":"auspicious"},{"name":"Roga","start":"12:02","end":"13:28","startHours":12.0345461604782,"endHours":13.470810777953727,"quality":"inauspicious"},{"name":"Udveg","start":"13:28","end":"14:54","startHours":13.470810777953727,"endHours":14.907075395429253,"quality":"inauspicious"},{"name":"Chala","start":"14:54","end":"16:21","startHours":14.907075395429253,"endHours":16.34334001290478,"quality":"neutral"},{"name":"Labha","start":"16:21","end":"17:47","startHours":16.34334001290478,"endHours":17.779604630380305,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:47","end":"19:21","startHours":17.779604630380305,"endHours":19.34334001290478,"quality":"inauspicious"},{"name":"Chala","start":"19:21","end":"20:54","startHours":19.34334001290478,"endHours":20.907075395429253,"quality":"neutral"},{"name":"Labha","start":"20:54","end":"22:28","startHours":20.907075395429253,"endHours":22.470810777953727,"quality":"auspicious"},{"name":"Amṛta","start":"22:28","end":"00:02","startHours":22.470810777953727,"endHours":24.0345461604782,"quality":"auspicious"},{"name":"Kāla","start":"00:02","end":"01:36","startHours":24.0345461604782,"endHours":25.598281543002674,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"03:10","startHours":25.598281543002674,"endHours":27.162016925527148,"quality":"auspicious"},{"name":"Roga","start":"03:10","end":"04:44","startHours":27.162016925527148,"endHours":28.72575230805162,"quality":"inauspicious"},{"name":"Udveg","start":"04:44","end":"06:17","startHours":28.72575230805162,"endHours":30.289487690576095,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.289487690576096,"endHours":7.289487690576096,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.289487690576096,"endHours":8.289487690576095,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.289487690576095,"endHours":9.289487690576095,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.289487690576095,"endHours":10.289487690576095,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.289487690576095,"endHours":11.289487690576095,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.289487690576095,"endHours":12.289487690576095,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.289487690576095,"endHours":13.289487690576095,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.289487690576095,"endHours":14.289487690576095,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.289487690576095,"endHours":15.289487690576095,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.289487690576095,"endHours":16.289487690576095,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.289487690576095,"endHours":17.289487690576095,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.289487690576095,"endHours":18.289487690576095,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.289487690576095,"endHours":19.289487690576095,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.289487690576095,"endHours":20.289487690576095,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.289487690576095,"endHours":21.289487690576095,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.289487690576095,"endHours":22.289487690576095,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.289487690576095,"endHours":23.289487690576095,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.289487690576095,"endHours":24.289487690576095,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.289487690576095,"endHours":25.289487690576095,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.289487690576095,"endHours":26.289487690576095,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.289487690576095,"endHours":27.289487690576095,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.289487690576095,"endHours":28.289487690576095,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.289487690576095,"endHours":29.289487690576095,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.289487690576095,"endHours":30.289487690576095,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-8.217539085442798,"eotMinutes":14.85683037130801,"ayanamsa":23.5147}},"calendars":{"vikram_samvat":2032,"vikram_samvatsara":"Vibhava","saka_samvat":1897,"saka_samvatsara":"Rākṣasa","bengali_samvat":1382,"malayalam_era":1151,"nanakshahi_year":506,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ekādaśī · Vikram 2032 Vibhava · Śaka 1897 Rākṣasa"},"festivals":[{"id":"pashankusha-ekadashi","name":"Pāśāṅkuśā Ekādaśī","name_sanskrit":"पाशाङ्कुशा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Padmanābha (Viṣṇu)","significance":"Confers strength + wealth + son; equivalent to 1000 Aśvamedha-yajñas.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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 October 15, 1975 CE · Ṛṣikeśa · Vidhyamitra","description":"October 15, 1975 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 06:17, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1975-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1975-10-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1975-10-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1975-10-15","x-default":"https://vidhyamitra.com/city/rishikesh/1975-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:39:13.584Z","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":"2026-05-31T19:39:13.584Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:39:13.584Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}