{"id":"vidhyamitra:city-day:rishikesh:2065-12-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2065-12-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2065-12-09","date_display":"December 9, 2065 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":2065,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475628.770833,"kali_year":5167,"ahargana":1887163.2708,"sun":{"sidereal_longitude":232.1328,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":9.2387,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":137.1059,"elapsed_within_tithi_degrees":5.1059},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.2387,"elapsed_within_degrees":9.2387},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.3714},"karana":{"half_tithi_index":22,"name":"Bava"},"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":2065,"month":12,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475628.770833,"ahargana":1887163.2708,"kali_year":5167,"ayanamsa_lahiri":24.7741,"grahas":{"sun":{"sidereal_longitude":232.730233,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":11.711833000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":4.4283},"mars":{"sidereal_longitude":315.19383300000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":214.40933300000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":211.74863299999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":228.04513300000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":122.10033299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":269.0082,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":89.0082,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2065,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475628.770833,"kali_year":5167,"ahargana":1887163.2708,"sun":{"sidereal_longitude":232.1328,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":9.2387,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":137.1059,"elapsed_within_tithi_degrees":5.1059},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.2387,"elapsed_within_degrees":9.2387},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.3714},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.428,"elongation":137.106},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.428,"opposition_distance":42.894}},"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":"07:02","sunsetLocal":"17:18","solarNoonLocal":"12:10","dayLengthHours":10.25920554427899,"dayLengthDisplay":"10 Hours 15 Mins 33 Secs","nightLengthDisplay":"13 Hours 44 Mins 27 Secs","moonriseLocal":"14:51","moonsetLocal":"04:01","rahuKala":{"name":"Rāhu Kāla","start":"12:10","end":"13:27","startHours":12.16771229252998,"endHours":13.450112985564855,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:19","end":"09:36","startHours":8.32051021342536,"endHours":9.602910906460234,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:53","end":"12:10","startHours":10.885311599495108,"endHours":12.16771229252998,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:46","startHours":9.431924147388917,"endHours":9.77389766553155,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.465576418068778,"endHours":7.739155232582885,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:31","startHours":11.825738774387348,"endHours":12.509685810672613,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:21","startHours":5.670215447819954,"endHours":6.35416248410522,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:02","startHours":6.183175725033904,"endHours":7.038109520390487,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:34","startHours":13.877579883243147,"endHours":14.561526919528413,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.097315064669477,"endHours":17.497315064669476,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.297315064669476,"endHours":17.724781962347766,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.047315064669476,"endHours":18.797315064669476,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:31","startHours":23.825738774387347,"endHours":24.509685810672615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:02","end":"08:19","startHours":7.038109520390487,"endHours":8.32051021342536,"quality":"auspicious"},{"name":"Amṛta","start":"08:19","end":"09:36","startHours":8.32051021342536,"endHours":9.602910906460234,"quality":"auspicious"},{"name":"Kāla","start":"09:36","end":"10:53","startHours":9.602910906460234,"endHours":10.885311599495108,"quality":"inauspicious"},{"name":"Śubha","start":"10:53","end":"12:10","startHours":10.885311599495108,"endHours":12.16771229252998,"quality":"auspicious"},{"name":"Roga","start":"12:10","end":"13:27","startHours":12.16771229252998,"endHours":13.450112985564855,"quality":"inauspicious"},{"name":"Udveg","start":"13:27","end":"14:44","startHours":13.450112985564855,"endHours":14.732513678599728,"quality":"inauspicious"},{"name":"Chala","start":"14:44","end":"16:01","startHours":14.732513678599728,"endHours":16.014914371634603,"quality":"neutral"},{"name":"Labha","start":"16:01","end":"17:18","startHours":16.014914371634603,"endHours":17.297315064669476,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:18","end":"19:01","startHours":17.297315064669476,"endHours":19.014914371634603,"quality":"inauspicious"},{"name":"Chala","start":"19:01","end":"20:44","startHours":19.014914371634603,"endHours":20.73251367859973,"quality":"neutral"},{"name":"Labha","start":"20:44","end":"22:27","startHours":20.73251367859973,"endHours":22.450112985564857,"quality":"auspicious"},{"name":"Amṛta","start":"22:27","end":"00:10","startHours":22.450112985564857,"endHours":24.16771229252998,"quality":"auspicious"},{"name":"Kāla","start":"00:10","end":"01:53","startHours":24.16771229252998,"endHours":25.885311599495108,"quality":"inauspicious"},{"name":"Śubha","start":"01:53","end":"03:36","startHours":25.885311599495108,"endHours":27.602910906460234,"quality":"auspicious"},{"name":"Roga","start":"03:36","end":"05:19","startHours":27.602910906460234,"endHours":29.320510213425358,"quality":"inauspicious"},{"name":"Udveg","start":"05:19","end":"07:02","startHours":29.320510213425358,"endHours":31.038109520390485,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.038109520390487,"endHours":8.038109520390487,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.038109520390487,"endHours":9.038109520390487,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.038109520390487,"endHours":10.038109520390487,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.038109520390487,"endHours":11.038109520390487,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.038109520390487,"endHours":12.038109520390487,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.038109520390487,"endHours":13.038109520390487,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.038109520390487,"endHours":14.038109520390487,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.038109520390487,"endHours":15.038109520390487,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.038109520390487,"endHours":16.038109520390485,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.038109520390485,"endHours":17.038109520390485,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.038109520390485,"endHours":18.038109520390485,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.038109520390485,"endHours":19.038109520390485,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.038109520390485,"endHours":20.038109520390485,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.038109520390485,"endHours":21.038109520390485,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.038109520390485,"endHours":22.038109520390485,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.038109520390485,"endHours":23.038109520390485,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.038109520390485,"endHours":24.038109520390485,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.038109520390485,"endHours":25.038109520390485,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.038109520390485,"endHours":26.038109520390485,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.038109520390485,"endHours":27.038109520390485,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.038109520390485,"endHours":28.038109520390485,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.038109520390485,"endHours":29.038109520390485,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.038109520390485,"endHours":30.038109520390485,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.038109520390485,"endHours":31.038109520390485,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.849453275560638,"eotMinutes":6.866862448201248,"ayanamsa":24.7741}},"calendars":{"vikram_samvat":2122,"vikram_samvatsara":"Vilambī","saka_samvat":1987,"saka_samvatsara":"Pārthiva","bengali_samvat":1472,"malayalam_era":1241,"nanakshahi_year":596,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvādaśī · Vikram 2122 Vilambī · Śaka 1987 Pārthiva"},"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":[{"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 December 9, 2065 CE · Ṛṣikeśa · Vidhyamitra","description":"December 9, 2065 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 07:02, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2065-12-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2065-12-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2065-12-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2065-12-09","x-default":"https://vidhyamitra.com/city/rishikesh/2065-12-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:35:37.610Z","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":"2026-06-01T15:35:37.610Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:35:37.610Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}