{"id":"vidhyamitra:city-day:vrindavan:2153-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2153-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2153-12-20","date_display":"December 20, 2153 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":2153,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507780.770833,"kali_year":5255,"ahargana":1919315.2708,"sun":{"sidereal_longitude":241.5964,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.3303,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.7338,"elapsed_within_tithi_degrees":9.7338},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.3303,"elapsed_within_degrees":5.9969},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.9267},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2153,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507780.770833,"ahargana":1919315.2708,"kali_year":5255,"ayanamsa_lahiri":26.0038,"grahas":{"sun":{"sidereal_longitude":242.32259,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":301.38229,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-4.1138},"mars":{"sidereal_longitude":259.23519,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":256.14319,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":351.41569,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":245.62939000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":116.22548999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":5.4406,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.4406,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2153,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507780.770833,"kali_year":5255,"ahargana":1919315.2708,"sun":{"sidereal_longitude":241.5964,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.3303,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.7338,"elapsed_within_tithi_degrees":9.7338},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.3303,"elapsed_within_degrees":5.9969},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.9267},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.114,"elongation":57.734},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.114,"opposition_distance":122.266}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:06","sunsetLocal":"17:29","solarNoonLocal":"12:18","dayLengthHours":10.396957409174995,"dayLengthDisplay":"10 Hours 23 Mins 49 Secs","nightLengthDisplay":"13 Hours 36 Mins 11 Secs","moonriseLocal":"10:37","moonsetLocal":"21:50","rahuKala":{"name":"Rāhu Kāla","start":"13:35","end":"14:53","startHours":13.591467717439063,"endHours":14.891087393585936,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:06","end":"08:24","startHours":7.09336933670469,"endHours":8.392989012851565,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"11:00","startHours":9.692608688998439,"endHours":10.992228365145312,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.519326065512189,"endHours":9.865891312484688,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.526575895420315,"endHours":7.803828092998315,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.945282794319688,"endHours":12.638413288264687,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.707108348814691,"endHours":6.40023884275969,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.226956219273441,"endHours":7.09336933670469,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.024674276154688,"endHours":14.717804770099688,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.290326745879685,"endHours":17.690326745879684,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.490326745879685,"endHours":17.92353330459531,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.240326745879685,"endHours":18.990326745879685,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.945282794319688,"endHours":24.638413288264687,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:06","end":"08:24","startHours":7.09336933670469,"endHours":8.392989012851565,"quality":"auspicious"},{"name":"Roga","start":"08:24","end":"09:42","startHours":8.392989012851565,"endHours":9.692608688998439,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"11:00","startHours":9.692608688998439,"endHours":10.992228365145312,"quality":"inauspicious"},{"name":"Chala","start":"11:00","end":"12:18","startHours":10.992228365145312,"endHours":12.291848041292187,"quality":"neutral"},{"name":"Labha","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.591467717439063,"quality":"auspicious"},{"name":"Amṛta","start":"13:35","end":"14:53","startHours":13.591467717439063,"endHours":14.891087393585936,"quality":"auspicious"},{"name":"Kāla","start":"14:53","end":"16:11","startHours":14.891087393585936,"endHours":16.19070706973281,"quality":"inauspicious"},{"name":"Śubha","start":"16:11","end":"17:29","startHours":16.19070706973281,"endHours":17.490326745879685,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:29","end":"19:11","startHours":17.490326745879685,"endHours":19.19070706973281,"quality":"auspicious"},{"name":"Kāla","start":"19:11","end":"20:53","startHours":19.19070706973281,"endHours":20.891087393585934,"quality":"inauspicious"},{"name":"Śubha","start":"20:53","end":"22:35","startHours":20.891087393585934,"endHours":22.591467717439063,"quality":"auspicious"},{"name":"Roga","start":"22:35","end":"00:18","startHours":22.591467717439063,"endHours":24.291848041292187,"quality":"inauspicious"},{"name":"Udveg","start":"00:18","end":"02:00","startHours":24.291848041292187,"endHours":25.992228365145312,"quality":"inauspicious"},{"name":"Chala","start":"02:00","end":"03:42","startHours":25.992228365145312,"endHours":27.69260868899844,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:24","startHours":27.69260868899844,"endHours":29.392989012851565,"quality":"auspicious"},{"name":"Amṛta","start":"05:24","end":"07:06","startHours":29.392989012851565,"endHours":31.09336933670469,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.09336933670469,"endHours":8.09336933670469,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.09336933670469,"endHours":9.09336933670469,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.09336933670469,"endHours":10.09336933670469,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.09336933670469,"endHours":11.09336933670469,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.09336933670469,"endHours":12.09336933670469,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.09336933670469,"endHours":13.09336933670469,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.09336933670469,"endHours":14.09336933670469,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.09336933670469,"endHours":15.09336933670469,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.09336933670469,"endHours":16.09336933670469,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.09336933670469,"endHours":17.09336933670469,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.09336933670469,"endHours":18.09336933670469,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.09336933670469,"endHours":19.09336933670469,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.09336933670469,"endHours":20.09336933670469,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.09336933670469,"endHours":21.09336933670469,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.09336933670469,"endHours":22.09336933670469,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.09336933670469,"endHours":23.09336933670469,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.09336933670469,"endHours":24.09336933670469,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.09336933670469,"endHours":25.09336933670469,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.09336933670469,"endHours":26.09336933670469,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.09336933670469,"endHours":27.09336933670469,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.09336933670469,"endHours":28.09336933670469,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.09336933670469,"endHours":29.09336933670469,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.09336933670469,"endHours":30.09336933670469,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.09336933670469,"endHours":31.09336933670469,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.425905221119823,"eotMinutes":1.851917522468745,"ayanamsa":26.0038}},"calendars":{"vikram_samvat":2210,"vikram_samvatsara":"Akṣaya","saka_samvat":2075,"saka_samvatsara":"Pramādī","bengali_samvat":1560,"malayalam_era":1329,"nanakshahi_year":684,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pañcamī · Vikram 2210 Akṣaya · Śaka 2075 Pramādī"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 20, 2153 CE · Vṛndāvana · Vidhyamitra","description":"December 20, 2153 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 07:06, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2153-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2153-12-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2153-12-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2153-12-20","x-default":"https://vidhyamitra.com/city/vrindavan/2153-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:02:38.171Z","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":"2026-05-31T15:02:38.171Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:02:38.171Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}