{"id":"vidhyamitra:city-day:rishikesh:1964-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1964-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-09-13","date_display":"September 13, 1964 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":1964,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438651.770833,"kali_year":5066,"ahargana":1850186.2708,"sun":{"sidereal_longitude":146.2833,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":227.9049,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6216,"elapsed_within_tithi_degrees":9.6216},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.9049,"elapsed_within_degrees":1.2382},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.1881},"karana":{"half_tithi_index":13,"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":1964,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438651.770833,"ahargana":1850186.2708,"kali_year":5066,"ayanamsa_lahiri":23.3599,"grahas":{"sun":{"sidereal_longitude":146.92172600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":227.66432600000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":1.5615},"mars":{"sidereal_longitude":95.76892599999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":131.64642600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":33.46432600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":102.13842599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":307.614826,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":68.2277,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.2277,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":1964,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438651.770833,"kali_year":5066,"ahargana":1850186.2708,"sun":{"sidereal_longitude":146.2833,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":227.9049,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6216,"elapsed_within_tithi_degrees":9.6216},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.9049,"elapsed_within_degrees":1.2382},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.1881},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.561,"elongation":81.622},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.561,"opposition_distance":98.378}},"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":12.426706267981615,"dayLengthDisplay":"12 Hours 25 Mins 36 Secs","nightLengthDisplay":"11 Hours 34 Mins 24 Secs","moonriseLocal":"12:27","moonsetLocal":"22:44","rahuKala":{"name":"Rāhu Kāla","start":"16:52","end":"18:25","startHours":16.862943668328672,"endHours":18.416281951826374,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.756267101333268,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:19","end":"16:52","startHours":15.30960538483097,"endHours":16.862943668328672,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.889140479707134,"endHours":9.303364021973188,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.507355111677326,"endHours":6.838733945490168,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.788705275569512,"endHours":12.61715236010162,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:10","startHours":4.332681514780543,"endHours":5.161128599312651,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.954016828179624,"endHours":5.989575683844758,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.274046529165837,"endHours":15.102493613697945,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.216281951826375,"endHours":18.616281951826373,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:56","startHours":18.416281951826374,"endHours":18.934061379658942,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.166281951826374,"endHours":19.916281951826374,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.788705275569512,"endHours":24.61715236010162,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:59","end":"07:33","startHours":5.989575683844758,"endHours":7.54291396734246,"quality":"inauspicious"},{"name":"Chala","start":"07:33","end":"09:06","startHours":7.54291396734246,"endHours":9.096252250840163,"quality":"neutral"},{"name":"Labha","start":"09:06","end":"10:39","startHours":9.096252250840163,"endHours":10.649590534337865,"quality":"auspicious"},{"name":"Amṛta","start":"10:39","end":"12:12","startHours":10.649590534337865,"endHours":12.202928817835566,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"13:45","startHours":12.202928817835566,"endHours":13.756267101333268,"quality":"inauspicious"},{"name":"Śubha","start":"13:45","end":"15:19","startHours":13.756267101333268,"endHours":15.30960538483097,"quality":"auspicious"},{"name":"Roga","start":"15:19","end":"16:52","startHours":15.30960538483097,"endHours":16.862943668328672,"quality":"inauspicious"},{"name":"Udveg","start":"16:52","end":"18:25","startHours":16.862943668328672,"endHours":18.416281951826374,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:25","end":"19:52","startHours":18.416281951826374,"endHours":19.862943668328672,"quality":"auspicious"},{"name":"Roga","start":"19:52","end":"21:19","startHours":19.862943668328672,"endHours":21.30960538483097,"quality":"inauspicious"},{"name":"Udveg","start":"21:19","end":"22:45","startHours":21.30960538483097,"endHours":22.75626710133327,"quality":"inauspicious"},{"name":"Chala","start":"22:45","end":"00:12","startHours":22.75626710133327,"endHours":24.202928817835566,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:39","startHours":24.202928817835566,"endHours":25.649590534337865,"quality":"auspicious"},{"name":"Amṛta","start":"01:39","end":"03:06","startHours":25.649590534337865,"endHours":27.096252250840163,"quality":"auspicious"},{"name":"Kāla","start":"03:06","end":"04:33","startHours":27.096252250840163,"endHours":28.54291396734246,"quality":"inauspicious"},{"name":"Śubha","start":"04:33","end":"05:59","startHours":28.54291396734246,"endHours":29.98957568384476,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.989575683844758,"endHours":6.989575683844758,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.989575683844758,"endHours":7.989575683844758,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.989575683844758,"endHours":8.989575683844759,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.989575683844759,"endHours":9.989575683844759,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.989575683844759,"endHours":10.989575683844759,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.989575683844759,"endHours":11.989575683844759,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.989575683844759,"endHours":12.989575683844759,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.989575683844759,"endHours":13.989575683844759,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.989575683844759,"endHours":14.989575683844759,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.989575683844759,"endHours":15.989575683844759,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.989575683844759,"endHours":16.98957568384476,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98957568384476,"endHours":17.98957568384476,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98957568384476,"endHours":18.98957568384476,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98957568384476,"endHours":19.98957568384476,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98957568384476,"endHours":20.98957568384476,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98957568384476,"endHours":21.98957568384476,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98957568384476,"endHours":22.98957568384476,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98957568384476,"endHours":23.98957568384476,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98957568384476,"endHours":24.98957568384476,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98957568384476,"endHours":25.98957568384476,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98957568384476,"endHours":26.98957568384476,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98957568384476,"endHours":27.98957568384476,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98957568384476,"endHours":28.98957568384476,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98957568384476,"endHours":29.98957568384476,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.849701108381995,"eotMinutes":4.753870929866006,"ayanamsa":23.3599}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Saptamī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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, 1964 CE · Ṛṣikeśa · Vidhyamitra","description":"September 13, 1964 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 05:59, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1964-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1964-09-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/1964-09-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/1964-09-13","x-default":"https://vidhyamitra.com/city/rishikesh/1964-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:30:23.968Z","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":"2026-05-31T12:30:23.968Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:30:23.968Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}