{"id":"vidhyamitra:city-day:agra:2075-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2075-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-06","date_display":"January 6, 2075 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":2075,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478943.770833,"kali_year":5176,"ahargana":1890478.2708,"sun":{"sidereal_longitude":260.5489,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":123.8155,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.2666,"elapsed_within_tithi_degrees":7.2666},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":123.8155,"elapsed_within_degrees":3.8155},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.3644},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2075,"month":1,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478943.770833,"ahargana":1890478.2708,"kali_year":5176,"ayanamsa_lahiri":24.9009,"grahas":{"sun":{"sidereal_longitude":260.922276,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":121.59777600000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":2.2789},"mars":{"sidereal_longitude":273.794676,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":278.249676,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":138.17377599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":213.79947600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":227.95667600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":93.3636,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":273.3636,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478943.770833,"kali_year":5176,"ahargana":1890478.2708,"sun":{"sidereal_longitude":260.5489,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":123.8155,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.2666,"elapsed_within_tithi_degrees":7.2666},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":123.8155,"elapsed_within_degrees":3.8155},"yoga":{"number":2,"name":"Prīti","sum_longitude":24.3644},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.279,"elongation":136.733},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.279,"opposition_distance":43.267}},"eclipse_window_40days":[]},"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:09","sunsetLocal":"17:39","solarNoonLocal":"12:24","dayLengthHours":10.501006063594557,"dayLengthDisplay":"10 Hours 30 Mins 04 Secs","nightLengthDisplay":"13 Hours 29 Mins 56 Secs","moonriseLocal":"20:37","moonsetLocal":"09:36","rahuKala":{"name":"Rāhu Kāla","start":"16:20","end":"17:39","startHours":16.335264292297524,"endHours":17.647890050246843,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:24","end":"13:43","startHours":12.397387018449564,"endHours":13.710012776398884,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:01","end":"16:20","startHours":15.022638534348204,"endHours":16.335264292297524,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.597118734824349,"endHours":9.9471522702775,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.584425905968726,"endHours":7.864452734331247,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.047353482996412,"endHours":12.747420553902716,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:27","startHours":5.7467498448396785,"endHours":6.446816915745982,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:09","startHours":6.271800148019406,"endHours":7.146883986652286,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.147554695715325,"endHours":14.847621766621629,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.447890050246844,"endHours":17.847890050246843,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:05","startHours":17.647890050246843,"endHours":18.085431969563285,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.397890050246843,"endHours":19.147890050246843,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.04735348299641,"endHours":24.747420553902717,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:09","end":"08:28","startHours":7.146883986652286,"endHours":8.459509744601606,"quality":"inauspicious"},{"name":"Chala","start":"08:28","end":"09:46","startHours":8.459509744601606,"endHours":9.772135502550926,"quality":"neutral"},{"name":"Labha","start":"09:46","end":"11:05","startHours":9.772135502550926,"endHours":11.084761260500244,"quality":"auspicious"},{"name":"Amṛta","start":"11:05","end":"12:24","startHours":11.084761260500244,"endHours":12.397387018449564,"quality":"auspicious"},{"name":"Kāla","start":"12:24","end":"13:43","startHours":12.397387018449564,"endHours":13.710012776398884,"quality":"inauspicious"},{"name":"Śubha","start":"13:43","end":"15:01","startHours":13.710012776398884,"endHours":15.022638534348204,"quality":"auspicious"},{"name":"Roga","start":"15:01","end":"16:20","startHours":15.022638534348204,"endHours":16.335264292297524,"quality":"inauspicious"},{"name":"Udveg","start":"16:20","end":"17:39","startHours":16.335264292297524,"endHours":17.647890050246843,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:39","end":"19:20","startHours":17.647890050246843,"endHours":19.335264292297524,"quality":"auspicious"},{"name":"Roga","start":"19:20","end":"21:01","startHours":19.335264292297524,"endHours":21.022638534348204,"quality":"inauspicious"},{"name":"Udveg","start":"21:01","end":"22:43","startHours":21.022638534348204,"endHours":22.710012776398884,"quality":"inauspicious"},{"name":"Chala","start":"22:43","end":"00:24","startHours":22.710012776398884,"endHours":24.397387018449564,"quality":"neutral"},{"name":"Labha","start":"00:24","end":"02:05","startHours":24.397387018449564,"endHours":26.084761260500244,"quality":"auspicious"},{"name":"Amṛta","start":"02:05","end":"03:46","startHours":26.084761260500244,"endHours":27.772135502550924,"quality":"auspicious"},{"name":"Kāla","start":"03:46","end":"05:28","startHours":27.772135502550924,"endHours":29.459509744601604,"quality":"inauspicious"},{"name":"Śubha","start":"05:28","end":"07:09","startHours":29.459509744601604,"endHours":31.146883986652284,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.146883986652286,"endHours":8.146883986652286,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.146883986652286,"endHours":9.146883986652286,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.146883986652286,"endHours":10.146883986652286,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.146883986652286,"endHours":11.146883986652286,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.146883986652286,"endHours":12.146883986652286,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.146883986652286,"endHours":13.146883986652286,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.146883986652286,"endHours":14.146883986652286,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.146883986652286,"endHours":15.146883986652286,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.146883986652286,"endHours":16.146883986652284,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.146883986652284,"endHours":17.146883986652284,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.146883986652284,"endHours":18.146883986652284,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.146883986652284,"endHours":19.146883986652284,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.146883986652284,"endHours":20.146883986652284,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.146883986652284,"endHours":21.146883986652284,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.146883986652284,"endHours":22.146883986652284,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.146883986652284,"endHours":23.146883986652284,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.146883986652284,"endHours":24.146883986652284,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.146883986652284,"endHours":25.146883986652284,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.146883986652284,"endHours":26.146883986652284,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.146883986652284,"endHours":27.146883986652284,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.146883986652284,"endHours":28.146883986652284,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.146883986652284,"endHours":29.146883986652284,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.146883986652284,"endHours":30.146883986652284,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.146883986652284,"endHours":31.146883986652284,"planetary_lord":"Jupiter"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","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":-22.49863949724038,"eotMinutes":-5.875621106973772,"ayanamsa":24.9009}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"agra"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 6, 2075 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"January 6, 2075 CE for Agra, Uttar Pradesh: Kṛṣṇa Caturthī, sūryodaya 07:09, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2075-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2075-01-06","sa":"https://sa.vidhyamitra.com/city/agra/2075-01-06","hi":"https://hi.vidhyamitra.com/city/agra/2075-01-06","x-default":"https://vidhyamitra.com/city/agra/2075-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:15:03.394Z","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":"2026-06-02T12:15:03.394Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:15:03.394Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}