{"id":"vidhyamitra:city-day:rishikesh:2068-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2068-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2068-12-24","date_display":"December 24, 2068 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":2068,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476739.770833,"kali_year":5170,"ahargana":1888274.2708,"sun":{"sidereal_longitude":247.7531,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":240.4916,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.7385,"elapsed_within_tithi_degrees":4.7385},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.4916,"elapsed_within_degrees":0.4916},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.2446},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2068,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476739.770833,"ahargana":1888274.2708,"kali_year":5170,"ayanamsa_lahiri":24.8166,"grahas":{"sun":{"sidereal_longitude":248.22448499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":241.85598500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":2.272},"mars":{"sidereal_longitude":219.88748499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":267.2520850000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":291.44468499999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":228.63708500000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":160.99348499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":210.1421,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.1421,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2068,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476739.770833,"kali_year":5170,"ahargana":1888274.2708,"sun":{"sidereal_longitude":247.7531,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":240.4916,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.7385,"elapsed_within_tithi_degrees":4.7385},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.4916,"elapsed_within_degrees":0.4916},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.2446},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.272,"elongation":7.262},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.272,"opposition_distance":172.738}},"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":10.207990381793245,"dayLengthDisplay":"10 Hours 12 Mins 29 Secs","nightLengthDisplay":"13 Hours 47 Mins 31 Secs","moonriseLocal":"06:47","moonsetLocal":"16:56","rahuKala":{"name":"Rāhu Kāla","start":"08:27","end":"09:44","startHours":8.45458821022779,"endHours":9.730587007951947,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:00","end":"12:17","startHours":11.006585805676101,"endHours":12.282584603400256,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"14:50","startHours":13.558583401124412,"endHours":14.834582198848569,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:54","startHours":9.560453834922058,"endHours":9.900720180981834,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.603922345078353,"endHours":7.876135421926173,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:37","startHours":11.942318257340482,"endHours":12.62285094946003,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:30","startHours":5.817524028264535,"endHours":6.498056720384085,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:11","startHours":6.327923547354198,"endHours":7.1785894125036345,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.983916333699131,"endHours":14.664449025818682,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.18657979429688,"endHours":17.586579794296878,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:49","startHours":17.38657979429688,"endHours":17.811912726871597,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.13657979429688,"endHours":18.88657979429688,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:37","startHours":23.94231825734048,"endHours":24.62285094946003,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:27","startHours":7.1785894125036345,"endHours":8.45458821022779,"quality":"auspicious"},{"name":"Kāla","start":"08:27","end":"09:44","startHours":8.45458821022779,"endHours":9.730587007951947,"quality":"inauspicious"},{"name":"Śubha","start":"09:44","end":"11:00","startHours":9.730587007951947,"endHours":11.006585805676101,"quality":"auspicious"},{"name":"Roga","start":"11:00","end":"12:17","startHours":11.006585805676101,"endHours":12.282584603400256,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"13:34","startHours":12.282584603400256,"endHours":13.558583401124412,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"14:50","startHours":13.558583401124412,"endHours":14.834582198848569,"quality":"neutral"},{"name":"Labha","start":"14:50","end":"16:07","startHours":14.834582198848569,"endHours":16.110580996572722,"quality":"auspicious"},{"name":"Amṛta","start":"16:07","end":"17:23","startHours":16.110580996572722,"endHours":17.38657979429688,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:23","end":"19:07","startHours":17.38657979429688,"endHours":19.110580996572722,"quality":"neutral"},{"name":"Labha","start":"19:07","end":"20:50","startHours":19.110580996572722,"endHours":20.834582198848565,"quality":"auspicious"},{"name":"Amṛta","start":"20:50","end":"22:34","startHours":20.834582198848565,"endHours":22.558583401124412,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"00:17","startHours":22.558583401124412,"endHours":24.282584603400256,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"02:00","startHours":24.282584603400256,"endHours":26.0065858056761,"quality":"auspicious"},{"name":"Roga","start":"02:00","end":"03:44","startHours":26.0065858056761,"endHours":27.730587007951947,"quality":"inauspicious"},{"name":"Udveg","start":"03:44","end":"05:27","startHours":27.730587007951947,"endHours":29.45458821022779,"quality":"inauspicious"},{"name":"Chala","start":"05:27","end":"07:11","startHours":29.45458821022779,"endHours":31.178589412503634,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1785894125036345,"endHours":8.178589412503634,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.178589412503634,"endHours":9.178589412503634,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.178589412503634,"endHours":10.178589412503634,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.178589412503634,"endHours":11.178589412503634,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.178589412503634,"endHours":12.178589412503634,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.178589412503634,"endHours":13.178589412503634,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.178589412503634,"endHours":14.178589412503634,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.178589412503634,"endHours":15.178589412503634,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.178589412503634,"endHours":16.178589412503634,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.178589412503634,"endHours":17.178589412503634,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.178589412503634,"endHours":18.178589412503634,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.178589412503634,"endHours":19.178589412503634,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.178589412503634,"endHours":20.178589412503634,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.178589412503634,"endHours":21.178589412503634,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.178589412503634,"endHours":22.178589412503634,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.178589412503634,"endHours":23.178589412503634,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.178589412503634,"endHours":24.178589412503634,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.178589412503634,"endHours":25.178589412503634,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.178589412503634,"endHours":26.178589412503634,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.178589412503634,"endHours":27.178589412503634,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.178589412503634,"endHours":28.178589412503634,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.178589412503634,"endHours":29.178589412503634,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.178589412503634,"endHours":30.178589412503634,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.178589412503634,"endHours":31.178589412503634,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","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":-23.40152728179633,"eotMinutes":-0.025476204015291604,"ayanamsa":24.8166}},"calendars":{"vikram_samvat":2125,"vikram_samvatsara":"Plava","saka_samvat":1990,"saka_samvatsara":"Sarvadhāri","bengali_samvat":1475,"malayalam_era":1244,"nanakshahi_year":599,"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 Amāvasyā · Vikram 2125 Plava · Śaka 1990 Sarvadhāri"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","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 December 24, 2068 CE · Ṛṣikeśa · Vidhyamitra","description":"December 24, 2068 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 07:11, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2068-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2068-12-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/2068-12-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/2068-12-24","x-default":"https://vidhyamitra.com/city/rishikesh/2068-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:00:03.052Z","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":"2026-05-31T14:00:03.052Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:00:03.052Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}