{"id":"vidhyamitra:city-day:berlin:2161-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2161-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2161-01-06","date_display":"January 6, 2161 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":2161,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510354.770833,"kali_year":5262,"ahargana":1921889.2708,"sun":{"sidereal_longitude":259.2606,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":5.6446,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.3839,"elapsed_within_tithi_degrees":10.3839},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.6446,"elapsed_within_degrees":5.6446},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.9052},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2161,"month":1,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510354.770833,"ahargana":1921889.2708,"kali_year":5262,"ayanamsa_lahiri":26.1023,"grahas":{"sun":{"sidereal_longitude":259.847845,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":3.8689449999999965,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":3.091},"mars":{"sidereal_longitude":207.18634499999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":266.7415450000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":218.15784499999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":297.90204500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":202.31814499999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":229.0577,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":49.0577,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2161,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510354.770833,"kali_year":5262,"ahargana":1921889.2708,"sun":{"sidereal_longitude":259.2606,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":5.6446,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.3839,"elapsed_within_tithi_degrees":10.3839},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.6446,"elapsed_within_degrees":5.6446},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.9052},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.091,"elongation":106.384},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.091,"opposition_distance":73.616}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"08:16","sunsetLocal":"16:09","solarNoonLocal":"12:12","dayLengthHours":7.87670788546027,"dayLengthDisplay":"7 Hours 52 Mins 36 Secs","nightLengthDisplay":"16 Hours 07 Mins 24 Secs","moonriseLocal":"12:03","moonsetLocal":"02:14","rahuKala":{"name":"Rāhu Kāla","start":"14:10","end":"15:09","startHours":14.173437323147963,"endHours":15.158025808830498,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:14","end":"11:13","startHours":10.235083380417828,"endHours":11.219671866100363,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:12","end":"13:11","startHours":12.204260351782896,"endHours":13.188848837465429,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:06","end":"10:22","startHours":10.103804915660158,"endHours":10.366361845175499,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:48","startHours":8.594102570946939,"endHours":8.804148114559213,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:28","startHours":11.941703422267553,"endHours":12.466817281298239,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:13","end":"07:44","startHours":7.215678690991392,"endHours":7.740792550022076,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:37","end":"08:16","startHours":7.609514085264405,"endHours":8.26590640905276,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:03","startHours":13.517044999359607,"endHours":14.042158858390291,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:57","end":"16:21","startHours":15.942614294513032,"endHours":16.34261429451303,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:09","end":"16:28","startHours":16.14261429451303,"endHours":16.470810456407207,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:54","end":"17:39","startHours":15.89261429451303,"endHours":17.64261429451303,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:28","startHours":23.941703422267555,"endHours":24.466817281298237,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"08:16","end":"09:15","startHours":8.26590640905276,"endHours":9.250494894735294,"quality":"inauspicious"},{"name":"Udveg","start":"09:15","end":"10:14","startHours":9.250494894735294,"endHours":10.235083380417828,"quality":"inauspicious"},{"name":"Chala","start":"10:14","end":"11:13","startHours":10.235083380417828,"endHours":11.219671866100363,"quality":"neutral"},{"name":"Labha","start":"11:13","end":"12:12","startHours":11.219671866100363,"endHours":12.204260351782896,"quality":"auspicious"},{"name":"Amṛta","start":"12:12","end":"13:11","startHours":12.204260351782896,"endHours":13.188848837465429,"quality":"auspicious"},{"name":"Kāla","start":"13:11","end":"14:10","startHours":13.188848837465429,"endHours":14.173437323147963,"quality":"inauspicious"},{"name":"Śubha","start":"14:10","end":"15:09","startHours":14.173437323147963,"endHours":15.158025808830498,"quality":"auspicious"},{"name":"Roga","start":"15:09","end":"16:09","startHours":15.158025808830498,"endHours":16.14261429451303,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:09","end":"18:09","startHours":16.14261429451303,"endHours":18.158025808830498,"quality":"inauspicious"},{"name":"Śubha","start":"18:09","end":"20:10","startHours":18.158025808830498,"endHours":20.173437323147965,"quality":"auspicious"},{"name":"Roga","start":"20:10","end":"22:11","startHours":20.173437323147965,"endHours":22.18884883746543,"quality":"inauspicious"},{"name":"Udveg","start":"22:11","end":"00:12","startHours":22.18884883746543,"endHours":24.204260351782896,"quality":"inauspicious"},{"name":"Chala","start":"00:12","end":"02:13","startHours":24.204260351782896,"endHours":26.219671866100363,"quality":"neutral"},{"name":"Labha","start":"02:13","end":"04:14","startHours":26.219671866100363,"endHours":28.235083380417827,"quality":"auspicious"},{"name":"Amṛta","start":"04:14","end":"06:15","startHours":28.235083380417827,"endHours":30.250494894735294,"quality":"auspicious"},{"name":"Kāla","start":"06:15","end":"08:16","startHours":30.250494894735294,"endHours":32.26590640905276,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:16","end":"09:16","startHours":8.26590640905276,"endHours":9.26590640905276,"planetary_lord":"Mars"},{"name":"Hora 2","start":"09:16","end":"10:16","startHours":9.26590640905276,"endHours":10.26590640905276,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"10:16","end":"11:16","startHours":10.26590640905276,"endHours":11.26590640905276,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"11:16","end":"12:16","startHours":11.26590640905276,"endHours":12.26590640905276,"planetary_lord":"Moon"},{"name":"Hora 5","start":"12:16","end":"13:16","startHours":12.26590640905276,"endHours":13.26590640905276,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"13:16","end":"14:16","startHours":13.26590640905276,"endHours":14.26590640905276,"planetary_lord":"Venus"},{"name":"Hora 7","start":"14:16","end":"15:16","startHours":14.26590640905276,"endHours":15.26590640905276,"planetary_lord":"Sun"},{"name":"Hora 8","start":"15:16","end":"16:16","startHours":15.26590640905276,"endHours":16.26590640905276,"planetary_lord":"Mars"},{"name":"Hora 9","start":"16:16","end":"17:16","startHours":16.26590640905276,"endHours":17.26590640905276,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"17:16","end":"18:16","startHours":17.26590640905276,"endHours":18.26590640905276,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"18:16","end":"19:16","startHours":18.26590640905276,"endHours":19.26590640905276,"planetary_lord":"Moon"},{"name":"Hora 12","start":"19:16","end":"20:16","startHours":19.26590640905276,"endHours":20.26590640905276,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"20:16","end":"21:16","startHours":20.26590640905276,"endHours":21.26590640905276,"planetary_lord":"Venus"},{"name":"Hora 14","start":"21:16","end":"22:16","startHours":21.26590640905276,"endHours":22.26590640905276,"planetary_lord":"Sun"},{"name":"Hora 15","start":"22:16","end":"23:16","startHours":22.26590640905276,"endHours":23.26590640905276,"planetary_lord":"Mars"},{"name":"Hora 16","start":"23:16","end":"00:16","startHours":23.26590640905276,"endHours":24.26590640905276,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"00:16","end":"01:16","startHours":24.26590640905276,"endHours":25.26590640905276,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"01:16","end":"02:16","startHours":25.26590640905276,"endHours":26.26590640905276,"planetary_lord":"Moon"},{"name":"Hora 19","start":"02:16","end":"03:16","startHours":26.26590640905276,"endHours":27.26590640905276,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"03:16","end":"04:16","startHours":27.26590640905276,"endHours":28.26590640905276,"planetary_lord":"Venus"},{"name":"Hora 21","start":"04:16","end":"05:16","startHours":28.26590640905276,"endHours":29.26590640905276,"planetary_lord":"Sun"},{"name":"Hora 22","start":"05:16","end":"06:16","startHours":29.26590640905276,"endHours":30.26590640905276,"planetary_lord":"Mars"},{"name":"Hora 23","start":"06:16","end":"07:16","startHours":30.26590640905276,"endHours":31.26590640905276,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"07:16","end":"08:16","startHours":31.26590640905276,"endHours":32.26590640905276,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","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":-22.483677955198555,"eotMinutes":-5.875621106973772,"ayanamsa":26.1023}},"calendars":{"vikram_samvat":2218,"vikram_samvatsara":"Bhāva","saka_samvat":2083,"saka_samvatsara":"Durmati","bengali_samvat":1568,"malayalam_era":1337,"nanakshahi_year":692,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Navamī · Vikram 2218 Bhāva · Śaka 2083 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"berlin"},"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, 2161 CE · Berlin, Germany · Vidhyamitra","description":"January 6, 2161 CE for Berlin, Germany: Śukla Navamī, sūryodaya 08:16, sūryāsta 16:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2161-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2161-01-06","sa":"https://sa.vidhyamitra.com/city/berlin/2161-01-06","hi":"https://hi.vidhyamitra.com/city/berlin/2161-01-06","x-default":"https://vidhyamitra.com/city/berlin/2161-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T05:10:18.460Z","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":"2026-06-03T05:10:18.460Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T05:10:18.460Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}