{"id":"vidhyamitra:city-day:rishikesh:1975-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1975-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1975-10-21","date_display":"October 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2442706.770833,"kali_year":5077,"ahargana":1854241.2708,"sun":{"sidereal_longitude":182.8388,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":12.9085,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.0698,"elapsed_within_tithi_degrees":10.0698},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.9085,"elapsed_within_degrees":12.9085},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.7473},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":1975,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2442706.770833,"ahargana":1854241.2708,"kali_year":5077,"ayanamsa_lahiri":23.515,"grahas":{"sun":{"sidereal_longitude":183.50199599999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":12.648796000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":1.572},"mars":{"sidereal_longitude":67.63379600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":166.57279600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":355.117096,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":138.47819600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":98.98019599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":213.3742,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":33.3742,"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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2442706.770833,"kali_year":5077,"ahargana":1854241.2708,"sun":{"sidereal_longitude":182.8388,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":12.9085,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.0698,"elapsed_within_tithi_degrees":10.0698},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.9085,"elapsed_within_degrees":12.9085},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.7473},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.572,"elongation":169.93},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.572,"opposition_distance":10.07}},"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":"06:22","sunsetLocal":"17:41","solarNoonLocal":"12:01","dayLengthHours":11.316542418169409,"dayLengthDisplay":"11 Hours 19 Mins 00 Secs","nightLengthDisplay":"12 Hours 41 Mins 00 Secs","moonriseLocal":"18:03","moonsetLocal":"07:13","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:16","startHours":14.847471928430608,"endHours":16.262039730701783,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:11","end":"10:36","startHours":9.189200719345902,"endHours":10.603768521617077,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:01","end":"13:26","startHours":12.018336323888253,"endHours":13.432904126159428,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.000591679043078,"endHours":9.377809759648725,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.831587715560608,"endHours":7.1333621800451255,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:24","startHours":11.641118243282607,"endHours":12.395554404493902,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:51","end":"05:36","startHours":4.851192792380962,"endHours":5.605628953592255,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:22","startHours":5.417019913289432,"endHours":6.360065114803549,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:40","startHours":13.904426726916487,"endHours":14.65886288812778,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.47660753297296,"endHours":17.876607532972958,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:09","startHours":17.67660753297296,"endHours":18.148130133730017,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.42660753297296,"endHours":19.17660753297296,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:24","startHours":23.64111824328261,"endHours":24.395554404493904,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:22","end":"07:46","startHours":6.360065114803549,"endHours":7.774632917074726,"quality":"inauspicious"},{"name":"Udveg","start":"07:46","end":"09:11","startHours":7.774632917074726,"endHours":9.189200719345902,"quality":"inauspicious"},{"name":"Chala","start":"09:11","end":"10:36","startHours":9.189200719345902,"endHours":10.603768521617077,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:01","startHours":10.603768521617077,"endHours":12.018336323888253,"quality":"auspicious"},{"name":"Amṛta","start":"12:01","end":"13:26","startHours":12.018336323888253,"endHours":13.432904126159428,"quality":"auspicious"},{"name":"Kāla","start":"13:26","end":"14:51","startHours":13.432904126159428,"endHours":14.847471928430608,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:16","startHours":14.847471928430608,"endHours":16.262039730701783,"quality":"auspicious"},{"name":"Roga","start":"16:16","end":"17:41","startHours":16.262039730701783,"endHours":17.67660753297296,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:41","end":"19:16","startHours":17.67660753297296,"endHours":19.262039730701783,"quality":"inauspicious"},{"name":"Śubha","start":"19:16","end":"20:51","startHours":19.262039730701783,"endHours":20.847471928430608,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:26","startHours":20.847471928430608,"endHours":22.43290412615943,"quality":"inauspicious"},{"name":"Udveg","start":"22:26","end":"00:01","startHours":22.43290412615943,"endHours":24.018336323888256,"quality":"inauspicious"},{"name":"Chala","start":"00:01","end":"01:36","startHours":24.018336323888256,"endHours":25.603768521617077,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:11","startHours":25.603768521617077,"endHours":27.1892007193459,"quality":"auspicious"},{"name":"Amṛta","start":"03:11","end":"04:46","startHours":27.1892007193459,"endHours":28.774632917074726,"quality":"auspicious"},{"name":"Kāla","start":"04:46","end":"06:22","startHours":28.774632917074726,"endHours":30.36006511480355,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.360065114803549,"endHours":7.360065114803549,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.360065114803549,"endHours":8.36006511480355,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.36006511480355,"endHours":9.36006511480355,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.36006511480355,"endHours":10.36006511480355,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.36006511480355,"endHours":11.36006511480355,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.36006511480355,"endHours":12.36006511480355,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.36006511480355,"endHours":13.36006511480355,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.36006511480355,"endHours":14.36006511480355,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.36006511480355,"endHours":15.36006511480355,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.36006511480355,"endHours":16.36006511480355,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.36006511480355,"endHours":17.36006511480355,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.36006511480355,"endHours":18.36006511480355,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.36006511480355,"endHours":19.36006511480355,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.36006511480355,"endHours":20.36006511480355,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.36006511480355,"endHours":21.36006511480355,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.36006511480355,"endHours":22.36006511480355,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.36006511480355,"endHours":23.36006511480355,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.36006511480355,"endHours":24.36006511480355,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.36006511480355,"endHours":25.36006511480355,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.36006511480355,"endHours":26.36006511480355,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.36006511480355,"endHours":27.36006511480355,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.36006511480355,"endHours":28.36006511480355,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.36006511480355,"endHours":29.36006511480355,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.36006511480355,"endHours":30.36006511480355,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.408896969636698,"eotMinutes":15.829420566704727,"ayanamsa":23.515}},"calendars":{"vikram_samvat":2032,"vikram_samvatsara":"Vibhava","saka_samvat":1897,"saka_samvatsara":"Rākṣasa","bengali_samvat":1382,"malayalam_era":1151,"nanakshahi_year":506,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Pratipada · Vikram 2032 Vibhava · Śaka 1897 Rākṣasa"},"festivals":[],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 October 21, 1975 CE · Ṛṣikeśa · Vidhyamitra","description":"October 21, 1975 CE for Ṛṣikeśa: Kṛṣṇa Pratipada, sūryodaya 06:22, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1975-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1975-10-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1975-10-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1975-10-21","x-default":"https://vidhyamitra.com/city/rishikesh/1975-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T17:21:16.210Z","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":"2026-06-02T17:21:16.210Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T17:21:16.210Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}