{"id":"vidhyamitra:city-day:melbourne:2138-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/2138-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-01-13","date_display":"January 13, 2138 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":2138,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501960.770833,"kali_year":5239,"ahargana":1913495.2708,"sun":{"sidereal_longitude":266.4058,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":287.934,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.5282,"elapsed_within_tithi_degrees":9.5282},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.934,"elapsed_within_degrees":7.934},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.3398},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2138,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501960.770833,"ahargana":1913495.2708,"kali_year":5239,"ayanamsa_lahiri":25.7812,"grahas":{"sun":{"sidereal_longitude":266.8770569999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":290.521757,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-1.9624},"mars":{"sidereal_longitude":142.82365700000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":261.3752569999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":237.64525700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":274.889057,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":269.37515699999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":313.8122,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.8122,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"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":2138,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501960.770833,"kali_year":5239,"ahargana":1913495.2708,"sun":{"sidereal_longitude":266.4058,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":287.934,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.5282,"elapsed_within_tithi_degrees":9.5282},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.934,"elapsed_within_degrees":7.934},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.3398},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.962,"elongation":21.528},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.962,"opposition_distance":158.472}},"eclipse_window_40days":[]},"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:13","sunsetLocal":"19:45","solarNoonLocal":"12:29","dayLengthHours":14.536788413687132,"dayLengthDisplay":"14 Hours 32 Mins 12 Secs","nightLengthDisplay":"9 Hours 27 Mins 48 Secs","moonriseLocal":"07:09","moonsetLocal":"20:58","rahuKala":{"name":"Rāhu Kāla","start":"07:02","end":"08:51","startHours":7.0284298697235545,"endHours":8.845528421434446,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:40","end":"12:29","startHours":10.662626973145336,"endHours":12.479725524856228,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:18","end":"16:07","startHours":14.29682407656712,"endHours":16.11392262827801,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:05","startHours":8.60324861453966,"endHours":9.087808228329232,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:49","end":"06:12","startHours":5.817030835249627,"endHours":6.204678526281284,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:58","startHours":11.995165911066657,"endHours":12.9642851386458,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:16","end":"04:15","startHours":3.2730928628543783,"endHours":4.2422120904335205,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:00","end":"05:13","startHours":3.999932283538735,"endHours":5.211331318012663,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:54","end":"15:52","startHours":14.902523593804084,"endHours":15.871642821383226,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:33","end":"19:57","startHours":19.548119731699796,"endHours":19.948119731699794,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:45","end":"20:21","startHours":19.748119731699795,"endHours":20.35381924893676,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:30","end":"21:15","startHours":19.498119731699795,"endHours":21.248119731699795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:58","startHours":23.995165911066657,"endHours":24.9642851386458,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:13","end":"07:02","startHours":5.211331318012663,"endHours":7.0284298697235545,"quality":"auspicious"},{"name":"Kāla","start":"07:02","end":"08:51","startHours":7.0284298697235545,"endHours":8.845528421434446,"quality":"inauspicious"},{"name":"Śubha","start":"08:51","end":"10:40","startHours":8.845528421434446,"endHours":10.662626973145336,"quality":"auspicious"},{"name":"Roga","start":"10:40","end":"12:29","startHours":10.662626973145336,"endHours":12.479725524856228,"quality":"inauspicious"},{"name":"Udveg","start":"12:29","end":"14:18","startHours":12.479725524856228,"endHours":14.29682407656712,"quality":"inauspicious"},{"name":"Chala","start":"14:18","end":"16:07","startHours":14.29682407656712,"endHours":16.11392262827801,"quality":"neutral"},{"name":"Labha","start":"16:07","end":"17:56","startHours":16.11392262827801,"endHours":17.931021179988903,"quality":"auspicious"},{"name":"Amṛta","start":"17:56","end":"19:45","startHours":17.931021179988903,"endHours":19.748119731699795,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:45","end":"20:56","startHours":19.748119731699795,"endHours":20.931021179988903,"quality":"neutral"},{"name":"Labha","start":"20:56","end":"22:07","startHours":20.931021179988903,"endHours":22.11392262827801,"quality":"auspicious"},{"name":"Amṛta","start":"22:07","end":"23:18","startHours":22.11392262827801,"endHours":23.29682407656712,"quality":"auspicious"},{"name":"Kāla","start":"23:18","end":"00:29","startHours":23.29682407656712,"endHours":24.479725524856228,"quality":"inauspicious"},{"name":"Śubha","start":"00:29","end":"01:40","startHours":24.479725524856228,"endHours":25.662626973145336,"quality":"auspicious"},{"name":"Roga","start":"01:40","end":"02:51","startHours":25.662626973145336,"endHours":26.845528421434445,"quality":"inauspicious"},{"name":"Udveg","start":"02:51","end":"04:02","startHours":26.845528421434445,"endHours":28.028429869723553,"quality":"inauspicious"},{"name":"Chala","start":"04:02","end":"05:13","startHours":28.028429869723553,"endHours":29.21133131801266,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.211331318012663,"endHours":6.211331318012663,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.211331318012663,"endHours":7.211331318012663,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.211331318012663,"endHours":8.211331318012663,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.211331318012663,"endHours":9.211331318012663,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.211331318012663,"endHours":10.211331318012663,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.211331318012663,"endHours":11.211331318012663,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.211331318012663,"endHours":12.211331318012663,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.211331318012663,"endHours":13.211331318012663,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.211331318012663,"endHours":14.211331318012663,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.211331318012663,"endHours":15.211331318012663,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.211331318012663,"endHours":16.21133131801266,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.21133131801266,"endHours":17.21133131801266,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.21133131801266,"endHours":18.21133131801266,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.21133131801266,"endHours":19.21133131801266,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.21133131801266,"endHours":20.21133131801266,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.21133131801266,"endHours":21.21133131801266,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.21133131801266,"endHours":22.21133131801266,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.21133131801266,"endHours":23.21133131801266,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.21133131801266,"endHours":24.21133131801266,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.21133131801266,"endHours":25.21133131801266,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.21133131801266,"endHours":26.21133131801266,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.21133131801266,"endHours":27.21133131801266,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.21133131801266,"endHours":28.21133131801266,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.21133131801266,"endHours":29.21133131801266,"planetary_lord":"Venus"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"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":-21.532878235936057,"eotMinutes":-8.635931491373626,"ayanamsa":25.7812}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"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 Dvitīyā · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"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":[]},"validity":{"eternal":false,"location_specific":"melbourne"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2138 CE · Melbourne, Australia · Vidhyamitra","description":"January 13, 2138 CE for Melbourne, Australia: Śukla Dvitīyā, sūryodaya 05:13, sūryāsta 19:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/2138-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/2138-01-13","sa":"https://sa.vidhyamitra.com/city/melbourne/2138-01-13","hi":"https://hi.vidhyamitra.com/city/melbourne/2138-01-13","x-default":"https://vidhyamitra.com/city/melbourne/2138-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T16:07:14.520Z","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":"2026-06-02T16:07:14.520Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T16:07:14.520Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}