{"id":"vidhyamitra:city-day:rishikesh:1969-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1969-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1969-12-24","date_display":"December 24, 1969 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":1969,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440579.770833,"kali_year":5071,"ahargana":1852114.2708,"sun":{"sidereal_longitude":248.387,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":73.3276,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":184.9406,"elapsed_within_tithi_degrees":4.9406},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":73.3276,"elapsed_within_degrees":6.6609},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.7146},"karana":{"half_tithi_index":30,"name":"Bālava"},"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":1969,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440579.770833,"ahargana":1852114.2708,"kali_year":5071,"ayanamsa_lahiri":23.4336,"grahas":{"sun":{"sidereal_longitude":248.61966299999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":72.02746300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":4.2971},"mars":{"sidereal_longitude":313.3226629999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":268.26276299999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":188.420163,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":241.436963,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":9.22806300000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":326.0729,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":146.0729,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"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":1969,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440579.770833,"kali_year":5071,"ahargana":1852114.2708,"sun":{"sidereal_longitude":248.387,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":73.3276,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":184.9406,"elapsed_within_tithi_degrees":4.9406},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":73.3276,"elapsed_within_degrees":6.6609},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.7146},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.297,"elongation":175.059},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.297,"opposition_distance":4.941}},"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":"07:11","sunsetLocal":"17:23","solarNoonLocal":"12:17","dayLengthHours":10.206216507983491,"dayLengthDisplay":"10 Hours 12 Mins 22 Secs","nightLengthDisplay":"13 Hours 47 Mins 38 Secs","moonriseLocal":"17:30","moonsetLocal":"07:31","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"13:34","startHours":12.282584603400256,"endHours":13.558361666898193,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:27","end":"09:44","startHours":8.455253412906448,"endHours":9.731030476404383,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:17","startHours":11.006807539902319,"endHours":12.282584603400256,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:54","startHours":9.560926867937992,"endHours":9.901134084870774,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.604735370574489,"endHours":7.8769011441207155,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:37","startHours":11.942377386467474,"endHours":12.622791820333038,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:30","startHours":5.818647481677378,"endHours":6.499061915542944,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:11","startHours":6.328958307076553,"endHours":7.17947634940851,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.983620688064171,"endHours":14.664035121929738,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.185692857392002,"endHours":17.585692857392,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:49","startHours":17.385692857392,"endHours":17.81095187855798,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.135692857392,"endHours":18.885692857392,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:37","startHours":23.942377386467474,"endHours":24.62279182033304,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:27","startHours":7.17947634940851,"endHours":8.455253412906448,"quality":"auspicious"},{"name":"Amṛta","start":"08:27","end":"09:44","startHours":8.455253412906448,"endHours":9.731030476404383,"quality":"auspicious"},{"name":"Kāla","start":"09:44","end":"11:00","startHours":9.731030476404383,"endHours":11.006807539902319,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:17","startHours":11.006807539902319,"endHours":12.282584603400256,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"13:34","startHours":12.282584603400256,"endHours":13.558361666898193,"quality":"inauspicious"},{"name":"Udveg","start":"13:34","end":"14:50","startHours":13.558361666898193,"endHours":14.834138730396129,"quality":"inauspicious"},{"name":"Chala","start":"14:50","end":"16:07","startHours":14.834138730396129,"endHours":16.109915793894064,"quality":"neutral"},{"name":"Labha","start":"16:07","end":"17:23","startHours":16.109915793894064,"endHours":17.385692857392,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:23","end":"19:07","startHours":17.385692857392,"endHours":19.109915793894064,"quality":"inauspicious"},{"name":"Chala","start":"19:07","end":"20:50","startHours":19.109915793894064,"endHours":20.834138730396127,"quality":"neutral"},{"name":"Labha","start":"20:50","end":"22:34","startHours":20.834138730396127,"endHours":22.558361666898193,"quality":"auspicious"},{"name":"Amṛta","start":"22:34","end":"00:17","startHours":22.558361666898193,"endHours":24.282584603400256,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"02:00","startHours":24.282584603400256,"endHours":26.00680753990232,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:44","startHours":26.00680753990232,"endHours":27.731030476404385,"quality":"auspicious"},{"name":"Roga","start":"03:44","end":"05:27","startHours":27.731030476404385,"endHours":29.455253412906448,"quality":"inauspicious"},{"name":"Udveg","start":"05:27","end":"07:11","startHours":29.455253412906448,"endHours":31.17947634940851,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.17947634940851,"endHours":8.17947634940851,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.17947634940851,"endHours":9.17947634940851,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.17947634940851,"endHours":10.17947634940851,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.17947634940851,"endHours":11.17947634940851,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.17947634940851,"endHours":12.17947634940851,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.17947634940851,"endHours":13.17947634940851,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.17947634940851,"endHours":14.17947634940851,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.17947634940851,"endHours":15.17947634940851,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.17947634940851,"endHours":16.17947634940851,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17947634940851,"endHours":17.17947634940851,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17947634940851,"endHours":18.17947634940851,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17947634940851,"endHours":19.17947634940851,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17947634940851,"endHours":20.17947634940851,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17947634940851,"endHours":21.17947634940851,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17947634940851,"endHours":22.17947634940851,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17947634940851,"endHours":23.17947634940851,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17947634940851,"endHours":24.17947634940851,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17947634940851,"endHours":25.17947634940851,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17947634940851,"endHours":26.17947634940851,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17947634940851,"endHours":27.17947634940851,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17947634940851,"endHours":28.17947634940851,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17947634940851,"endHours":29.17947634940851,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17947634940851,"endHours":30.17947634940851,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17947634940851,"endHours":31.17947634940851,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.420554132598234,"eotMinutes":-0.025476204015291604,"ayanamsa":23.4336}},"calendars":{"vikram_samvat":2026,"vikram_samvatsara":"Dundubhi","saka_samvat":1891,"saka_samvatsara":"Saumya","bengali_samvat":1376,"malayalam_era":1145,"nanakshahi_year":500,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2026 Dundubhi · Śaka 1891 Saumya"},"festivals":[],"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 December 24, 1969 CE · Ṛṣikeśa · Vidhyamitra","description":"December 24, 1969 CE for Ṛṣikeśa: Kṛṣṇa Pratipada, sūryodaya 07:11, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1969-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1969-12-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/1969-12-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/1969-12-24","x-default":"https://vidhyamitra.com/city/rishikesh/1969-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:31:27.758Z","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":"2026-06-01T03:31:27.758Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:31:27.758Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}