{"id":"vidhyamitra:city-day:mathura:2159-12-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-12-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-12-05","date_display":"December 5, 2159 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":2159,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509956.770833,"kali_year":5261,"ahargana":1921491.2708,"sun":{"sidereal_longitude":225.6648,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":169.7753,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.1105,"elapsed_within_tithi_degrees":4.1105},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7753,"elapsed_within_degrees":9.7753},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.4401},"karana":{"half_tithi_index":50,"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":2159,"month":12,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509956.770833,"ahargana":1921491.2708,"kali_year":5261,"ayanamsa_lahiri":26.087,"grahas":{"sun":{"sidereal_longitude":226.53735099999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":172.31275099999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-4.4365},"mars":{"sidereal_longitude":301.3082509999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":225.32585100000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":186.99525100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":189.98605099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":188.52005099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":250.1456,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":70.1456,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":12,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509956.770833,"kali_year":5261,"ahargana":1921491.2708,"sun":{"sidereal_longitude":225.6648,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":169.7753,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":304.1105,"elapsed_within_tithi_degrees":4.1105},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7753,"elapsed_within_degrees":9.7753},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.4401},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.436,"elongation":55.89},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.436,"opposition_distance":124.11}},"eclipse_window_40days":[{"offset_days":20,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:56","sunsetLocal":"17:26","solarNoonLocal":"12:11","dayLengthHours":10.494475033745182,"dayLengthDisplay":"10 Hours 29 Mins 40 Secs","nightLengthDisplay":"13 Hours 30 Mins 20 Secs","moonriseLocal":"02:46","moonsetLocal":"14:21","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:29","startHours":12.179163610999268,"endHours":13.490972990217415,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:15","end":"09:33","startHours":8.243735473344824,"endHours":9.55554485256297,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:52","end":"12:11","startHours":10.86735423178112,"endHours":12.179163610999268,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.380636935333886,"endHours":9.730452769792057,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.369195887199392,"endHours":7.64904855476593,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:32","startHours":11.829347776541095,"endHours":12.528979445457441,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:14","startHours":5.532662756293985,"endHours":6.2322944252103305,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:56","startHours":6.057386507981244,"endHours":6.931926094126676,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:38","startHours":13.92824278329013,"endHours":14.627874452206475,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.22640112787186,"endHours":17.62640112787186,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.42640112787186,"endHours":17.863670920944575,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.17640112787186,"endHours":18.92640112787186,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:32","startHours":23.829347776541095,"endHours":24.52897944545744,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:56","end":"08:15","startHours":6.931926094126676,"endHours":8.243735473344824,"quality":"auspicious"},{"name":"Amṛta","start":"08:15","end":"09:33","startHours":8.243735473344824,"endHours":9.55554485256297,"quality":"auspicious"},{"name":"Kāla","start":"09:33","end":"10:52","startHours":9.55554485256297,"endHours":10.86735423178112,"quality":"inauspicious"},{"name":"Śubha","start":"10:52","end":"12:11","startHours":10.86735423178112,"endHours":12.179163610999268,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:29","startHours":12.179163610999268,"endHours":13.490972990217415,"quality":"inauspicious"},{"name":"Udveg","start":"13:29","end":"14:48","startHours":13.490972990217415,"endHours":14.802782369435562,"quality":"inauspicious"},{"name":"Chala","start":"14:48","end":"16:07","startHours":14.802782369435562,"endHours":16.114591748653712,"quality":"neutral"},{"name":"Labha","start":"16:07","end":"17:26","startHours":16.114591748653712,"endHours":17.42640112787186,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:26","end":"19:07","startHours":17.42640112787186,"endHours":19.114591748653712,"quality":"inauspicious"},{"name":"Chala","start":"19:07","end":"20:48","startHours":19.114591748653712,"endHours":20.802782369435562,"quality":"neutral"},{"name":"Labha","start":"20:48","end":"22:29","startHours":20.802782369435562,"endHours":22.490972990217415,"quality":"auspicious"},{"name":"Amṛta","start":"22:29","end":"00:11","startHours":22.490972990217415,"endHours":24.179163610999268,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:52","startHours":24.179163610999268,"endHours":25.86735423178112,"quality":"inauspicious"},{"name":"Śubha","start":"01:52","end":"03:33","startHours":25.86735423178112,"endHours":27.555544852562974,"quality":"auspicious"},{"name":"Roga","start":"03:33","end":"05:15","startHours":27.555544852562974,"endHours":29.243735473344824,"quality":"inauspicious"},{"name":"Udveg","start":"05:15","end":"06:56","startHours":29.243735473344824,"endHours":30.931926094126677,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.931926094126676,"endHours":7.931926094126676,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.931926094126676,"endHours":8.931926094126677,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.931926094126677,"endHours":9.931926094126677,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.931926094126677,"endHours":10.931926094126677,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.931926094126677,"endHours":11.931926094126677,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.931926094126677,"endHours":12.931926094126677,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.931926094126677,"endHours":13.931926094126677,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.931926094126677,"endHours":14.931926094126677,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.931926094126677,"endHours":15.931926094126677,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.931926094126677,"endHours":16.931926094126677,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.931926094126677,"endHours":17.931926094126677,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.931926094126677,"endHours":18.931926094126677,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.931926094126677,"endHours":19.931926094126677,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.931926094126677,"endHours":20.931926094126677,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.931926094126677,"endHours":21.931926094126677,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.931926094126677,"endHours":22.931926094126677,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.931926094126677,"endHours":23.931926094126677,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.931926094126677,"endHours":24.931926094126677,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.931926094126677,"endHours":25.931926094126677,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.931926094126677,"endHours":26.931926094126677,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.931926094126677,"endHours":27.931926094126677,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.931926094126677,"endHours":28.931926094126677,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.931926094126677,"endHours":29.931926094126677,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.931926094126677,"endHours":30.931926094126677,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","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":-22.30784703123833,"eotMinutes":8.555383340043877,"ayanamsa":26.087}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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 Ekādaśī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 5, 2159 CE · Mathurā · Vidhyamitra","description":"December 5, 2159 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 06:56, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-12-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-12-05","sa":"https://sa.vidhyamitra.com/city/mathura/2159-12-05","hi":"https://hi.vidhyamitra.com/city/mathura/2159-12-05","x-default":"https://vidhyamitra.com/city/mathura/2159-12-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:34:50.279Z","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":"2026-05-31T14:34:50.279Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:34:50.279Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}