{"id":"vidhyamitra:city-day:rishikesh:2039-12-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-12-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-10","date_display":"December 10, 2039 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":2039,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466132.770833,"kali_year":5141,"ahargana":1877667.2708,"sun":{"sidereal_longitude":232.878,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":160.4159,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.5379,"elapsed_within_tithi_degrees":11.5379},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.4159,"elapsed_within_degrees":0.4159},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":33.2939},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2039,"month":12,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466132.770833,"ahargana":1877667.2708,"kali_year":5141,"ayanamsa_lahiri":24.4109,"grahas":{"sun":{"sidereal_longitude":233.40734999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":157.52405,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":4.2729},"mars":{"sidereal_longitude":84.86394999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":218.64045,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":154.48794999999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":192.25464999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":165.34304999999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":52.152,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":232.152,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"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":2039,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466132.770833,"kali_year":5141,"ahargana":1877667.2708,"sun":{"sidereal_longitude":232.878,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":160.4159,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.5379,"elapsed_within_tithi_degrees":11.5379},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":160.4159,"elapsed_within_degrees":0.4159},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":33.2939},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.273,"elongation":72.462},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.273,"opposition_distance":107.538}},"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":"07:03","sunsetLocal":"17:18","solarNoonLocal":"12:10","dayLengthHours":10.256531481557555,"dayLengthDisplay":"10 Hours 15 Mins 24 Secs","nightLengthDisplay":"13 Hours 44 Mins 36 Secs","moonriseLocal":"01:06","moonsetLocal":"13:08","rahuKala":{"name":"Rāhu Kāla","start":"09:37","end":"10:54","startHours":9.610860263973027,"endHours":10.892926699167722,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:27","end":"14:44","startHours":13.45705956955711,"endHours":14.739126004751805,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:03","end":"08:20","startHours":7.046727393583638,"endHours":8.328793828778332,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:47","startHours":9.439918072613734,"endHours":9.78180245533232,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.47408287198187,"endHours":7.747590378156738,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:31","startHours":11.83310875164383,"endHours":12.516877517081001,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:22","startHours":5.679189862709298,"endHours":6.362958628146468,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:03","startHours":6.192016436787175,"endHours":7.046727393583638,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:34","startHours":13.884415047955342,"endHours":14.568183813392512,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.103258875141194,"endHours":17.503258875141192,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.303258875141193,"endHours":17.730614353539423,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.053258875141193,"endHours":18.803258875141193,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:31","startHours":23.83310875164383,"endHours":24.516877517081003,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:03","end":"08:20","startHours":7.046727393583638,"endHours":8.328793828778332,"quality":"inauspicious"},{"name":"Śubha","start":"08:20","end":"09:37","startHours":8.328793828778332,"endHours":9.610860263973027,"quality":"auspicious"},{"name":"Roga","start":"09:37","end":"10:54","startHours":9.610860263973027,"endHours":10.892926699167722,"quality":"inauspicious"},{"name":"Udveg","start":"10:54","end":"12:10","startHours":10.892926699167722,"endHours":12.174993134362417,"quality":"inauspicious"},{"name":"Chala","start":"12:10","end":"13:27","startHours":12.174993134362417,"endHours":13.45705956955711,"quality":"neutral"},{"name":"Labha","start":"13:27","end":"14:44","startHours":13.45705956955711,"endHours":14.739126004751805,"quality":"auspicious"},{"name":"Amṛta","start":"14:44","end":"16:01","startHours":14.739126004751805,"endHours":16.0211924399465,"quality":"auspicious"},{"name":"Kāla","start":"16:01","end":"17:18","startHours":16.0211924399465,"endHours":17.303258875141193,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:18","end":"19:01","startHours":17.303258875141193,"endHours":19.0211924399465,"quality":"auspicious"},{"name":"Amṛta","start":"19:01","end":"20:44","startHours":19.0211924399465,"endHours":20.739126004751803,"quality":"auspicious"},{"name":"Kāla","start":"20:44","end":"22:27","startHours":20.739126004751803,"endHours":22.45705956955711,"quality":"inauspicious"},{"name":"Śubha","start":"22:27","end":"00:10","startHours":22.45705956955711,"endHours":24.174993134362417,"quality":"auspicious"},{"name":"Roga","start":"00:10","end":"01:54","startHours":24.174993134362417,"endHours":25.89292669916772,"quality":"inauspicious"},{"name":"Udveg","start":"01:54","end":"03:37","startHours":25.89292669916772,"endHours":27.610860263973027,"quality":"inauspicious"},{"name":"Chala","start":"03:37","end":"05:20","startHours":27.610860263973027,"endHours":29.32879382877833,"quality":"neutral"},{"name":"Labha","start":"05:20","end":"07:03","startHours":29.32879382877833,"endHours":31.046727393583637,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.046727393583638,"endHours":8.046727393583637,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.046727393583637,"endHours":9.046727393583637,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.046727393583637,"endHours":10.046727393583637,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.046727393583637,"endHours":11.046727393583637,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.046727393583637,"endHours":12.046727393583637,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.046727393583637,"endHours":13.046727393583637,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.046727393583637,"endHours":14.046727393583637,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.046727393583637,"endHours":15.046727393583637,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.046727393583637,"endHours":16.046727393583637,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.046727393583637,"endHours":17.046727393583637,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.046727393583637,"endHours":18.046727393583637,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.046727393583637,"endHours":19.046727393583637,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.046727393583637,"endHours":20.046727393583637,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.046727393583637,"endHours":21.046727393583637,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.046727393583637,"endHours":22.046727393583637,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.046727393583637,"endHours":23.046727393583637,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.046727393583637,"endHours":24.046727393583637,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.046727393583637,"endHours":25.046727393583637,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.046727393583637,"endHours":26.046727393583637,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.046727393583637,"endHours":27.046727393583637,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.046727393583637,"endHours":28.046727393583637,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.046727393583637,"endHours":29.046727393583637,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.046727393583637,"endHours":30.046727393583637,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.046727393583637,"endHours":31.046727393583637,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.87840856780593,"eotMinutes":6.4300119382551255,"ayanamsa":24.4109}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Navamī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 10, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"December 10, 2039 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 07:03, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-12-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-12-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-12-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-12-10","x-default":"https://vidhyamitra.com/city/rishikesh/2039-12-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:17:36.872Z","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":"2026-05-31T21:17:36.872Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:17:36.872Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}