{"id":"vidhyamitra:city-day:rishikesh:1962-04-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1962-04-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1962-04-15","date_display":"April 15, 1962 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":1962,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2437769.770833,"kali_year":5063,"ahargana":1849304.2708,"sun":{"sidereal_longitude":1.4931,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":124.7669,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.2738,"elapsed_within_tithi_degrees":3.2738},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.7669,"elapsed_within_degrees":4.7669},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.26},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1962,"month":4,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2437769.770833,"ahargana":1849304.2708,"kali_year":5063,"ayanamsa_lahiri":23.3261,"grahas":{"sun":{"sidereal_longitude":1.276124999999979,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":126.66742499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":0.7657},"mars":{"sidereal_longitude":333.5551250000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":0.47732500000000755,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":311.53482499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":20.86612500000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":287.630725,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":114.9603,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":294.9603,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":1962,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2437769.770833,"kali_year":5063,"ahargana":1849304.2708,"sun":{"sidereal_longitude":1.4931,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":124.7669,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":123.2738,"elapsed_within_tithi_degrees":3.2738},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.7669,"elapsed_within_degrees":4.7669},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":126.26},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.766,"elongation":123.274},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.766,"opposition_distance":56.726}},"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":"05:51","sunsetLocal":"18:43","solarNoonLocal":"12:17","dayLengthHours":12.875208361198778,"dayLengthDisplay":"12 Hours 52 Mins 31 Secs","nightLengthDisplay":"11 Hours 07 Mins 29 Secs","moonriseLocal":"14:09","moonsetLocal":"03:09","rahuKala":{"name":"Rāhu Kāla","start":"17:07","end":"18:43","startHours":17.114365203079664,"endHours":18.72376624822951,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:17","end":"13:54","startHours":12.28616206763012,"endHours":13.895563112779968,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:30","end":"17:07","startHours":15.504964157929814,"endHours":17.114365203079664,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:17","startHours":8.852773171310446,"endHours":9.281946783350406,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.38502490208068,"endHours":6.728363791712647,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:43","startHours":11.85698845559016,"endHours":12.715335679670078,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"04:59","startHours":4.131863438870894,"endHours":4.990210662950813,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:51","startHours":4.775623856930833,"endHours":5.848557887030731,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.432030127829917,"endHours":15.290377351909836,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.52376624822951,"endHours":18.92376624822951,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:16","startHours":18.72376624822951,"endHours":19.26023326327946,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.47376624822951,"endHours":20.22376624822951,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:43","startHours":23.85698845559016,"endHours":24.71533567967008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:51","end":"07:27","startHours":5.848557887030731,"endHours":7.457958932180579,"quality":"inauspicious"},{"name":"Chala","start":"07:27","end":"09:04","startHours":7.457958932180579,"endHours":9.067359977330426,"quality":"neutral"},{"name":"Labha","start":"09:04","end":"10:41","startHours":9.067359977330426,"endHours":10.676761022480273,"quality":"auspicious"},{"name":"Amṛta","start":"10:41","end":"12:17","startHours":10.676761022480273,"endHours":12.28616206763012,"quality":"auspicious"},{"name":"Kāla","start":"12:17","end":"13:54","startHours":12.28616206763012,"endHours":13.895563112779968,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:30","startHours":13.895563112779968,"endHours":15.504964157929814,"quality":"auspicious"},{"name":"Roga","start":"15:30","end":"17:07","startHours":15.504964157929814,"endHours":17.114365203079664,"quality":"inauspicious"},{"name":"Udveg","start":"17:07","end":"18:43","startHours":17.114365203079664,"endHours":18.72376624822951,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:43","end":"20:07","startHours":18.72376624822951,"endHours":20.11436520307966,"quality":"auspicious"},{"name":"Roga","start":"20:07","end":"21:30","startHours":20.11436520307966,"endHours":21.504964157929816,"quality":"inauspicious"},{"name":"Udveg","start":"21:30","end":"22:54","startHours":21.504964157929816,"endHours":22.895563112779968,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:17","startHours":22.895563112779968,"endHours":24.28616206763012,"quality":"neutral"},{"name":"Labha","start":"00:17","end":"01:41","startHours":24.28616206763012,"endHours":25.67676102248027,"quality":"auspicious"},{"name":"Amṛta","start":"01:41","end":"03:04","startHours":25.67676102248027,"endHours":27.067359977330426,"quality":"auspicious"},{"name":"Kāla","start":"03:04","end":"04:27","startHours":27.067359977330426,"endHours":28.457958932180578,"quality":"inauspicious"},{"name":"Śubha","start":"04:27","end":"05:51","startHours":28.457958932180578,"endHours":29.84855788703073,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.848557887030731,"endHours":6.848557887030731,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.848557887030731,"endHours":7.848557887030731,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.848557887030731,"endHours":8.848557887030731,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.848557887030731,"endHours":9.848557887030731,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.848557887030731,"endHours":10.848557887030731,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.848557887030731,"endHours":11.848557887030731,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.848557887030731,"endHours":12.848557887030731,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.848557887030731,"endHours":13.848557887030731,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.848557887030731,"endHours":14.848557887030731,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.848557887030731,"endHours":15.848557887030731,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.848557887030731,"endHours":16.84855788703073,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.84855788703073,"endHours":17.84855788703073,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.84855788703073,"endHours":18.84855788703073,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.84855788703073,"endHours":19.84855788703073,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.84855788703073,"endHours":20.84855788703073,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.84855788703073,"endHours":21.84855788703073,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.84855788703073,"endHours":22.84855788703073,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.84855788703073,"endHours":23.84855788703073,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.84855788703073,"endHours":24.84855788703073,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.84855788703073,"endHours":25.84855788703073,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.84855788703073,"endHours":26.84855788703073,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.84855788703073,"endHours":27.84855788703073,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.84855788703073,"endHours":28.84855788703073,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.84855788703073,"endHours":29.84855788703073,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.531070522976497,"eotMinutes":-0.240124057807095,"ayanamsa":23.3261}},"calendars":{"vikram_samvat":2019,"vikram_samvatsara":"Rākṣasa","saka_samvat":1884,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1369,"malayalam_era":1138,"nanakshahi_year":493,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Ekādaśī · Vikram 2019 Rākṣasa · Śaka 1884 Śubhakṛt"},"festivals":[{"id":"kamada-ekadashi","name":"Kāmadā Ekādaśī","name_sanskrit":"कामदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Fulfills righteous desires; removes brahma-hatyā.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 April 15, 1962 CE · Ṛṣikeśa · Vidhyamitra","description":"April 15, 1962 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 05:51, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1962-04-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1962-04-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1962-04-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1962-04-15","x-default":"https://vidhyamitra.com/city/rishikesh/1962-04-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T01:37:20.914Z","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":"2026-06-02T01:37:20.914Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T01:37:20.915Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}